Models for the Speiser class
The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bishop, Christopher J [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2017 |
|---|
| Rechteinformationen: |
Nutzungsrecht: © 2017 London Mathematical Society |
|---|
| Schlagwörter: |
|---|
| Übergeordnetes Werk: |
Enthalten in: Proceedings of the London Mathematical Society - New York, NY [u.a.] : Wiley, 1865, 114(2017), 5, Seite 765-797 |
|---|---|
| Übergeordnetes Werk: |
volume:114 ; year:2017 ; number:5 ; pages:765-797 |
| Links: |
|---|
| DOI / URN: |
10.1112/plms.12025 |
|---|
| Katalog-ID: |
OLC1992198144 |
|---|
| LEADER | 01000caa a2200265 4500 | ||
|---|---|---|---|
| 001 | OLC1992198144 | ||
| 003 | DE-627 | ||
| 005 | 20220216054055.0 | ||
| 007 | tu | ||
| 008 | 170512s2017 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1112/plms.12025 |2 doi | |
| 028 | 5 | 2 | |a PQ20170501 |
| 035 | |a (DE-627)OLC1992198144 | ||
| 035 | |a (DE-599)GBVOLC1992198144 | ||
| 035 | |a (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 | ||
| 035 | |a (KEY)0040054820170000114000500765modelsforthespeiserclass | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q DNB |
| 084 | |a 31.00 |2 bkl | ||
| 100 | 1 | |a Bishop, Christopher J |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Models for the Speiser class |
| 264 | 1 | |c 2017 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 520 | |a The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. | ||
| 540 | |a Nutzungsrecht: © 2017 London Mathematical Society | ||
| 650 | 4 | |a 37F10 (secondary) | |
| 650 | 4 | |a 30C62 | |
| 650 | 4 | |a 30D15 (primary) | |
| 773 | 0 | 8 | |i Enthalten in |t Proceedings of the London Mathematical Society |d New York, NY [u.a.] : Wiley, 1865 |g 114(2017), 5, Seite 765-797 |w (DE-627)129304891 |w (DE-600)124011-0 |w (DE-576)014500159 |x 0024-6115 |7 nnns |
| 773 | 1 | 8 | |g volume:114 |g year:2017 |g number:5 |g pages:765-797 |
| 856 | 4 | 1 | |u http://dx.doi.org/10.1112/plms.12025 |3 Volltext |
| 856 | 4 | 2 | |u http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_22 | ||
| 912 | |a GBV_ILN_24 | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_2088 | ||
| 912 | |a GBV_ILN_2409 | ||
| 912 | |a GBV_ILN_4027 | ||
| 912 | |a GBV_ILN_4116 | ||
| 912 | |a GBV_ILN_4193 | ||
| 912 | |a GBV_ILN_4318 | ||
| 912 | |a GBV_ILN_4700 | ||
| 936 | b | k | |a 31.00 |q AVZ |
| 951 | |a AR | ||
| 952 | |d 114 |j 2017 |e 5 |h 765-797 | ||
| author_variant |
c j b cj cjb |
|---|---|
| matchkey_str |
article:00246115:2017----::oesotepie |
| hierarchy_sort_str |
2017 |
| bklnumber |
31.00 |
| publishDate |
2017 |
| allfields |
10.1112/plms.12025 doi PQ20170501 (DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass DE-627 ger DE-627 rakwb eng 510 DNB 31.00 bkl Bishop, Christopher J verfasserin aut Models for the Speiser class 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. Nutzungsrecht: © 2017 London Mathematical Society 37F10 (secondary) 30C62 30D15 (primary) Enthalten in Proceedings of the London Mathematical Society New York, NY [u.a.] : Wiley, 1865 114(2017), 5, Seite 765-797 (DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 0024-6115 nnns volume:114 year:2017 number:5 pages:765-797 http://dx.doi.org/10.1112/plms.12025 Volltext http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 31.00 AVZ AR 114 2017 5 765-797 |
| spelling |
10.1112/plms.12025 doi PQ20170501 (DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass DE-627 ger DE-627 rakwb eng 510 DNB 31.00 bkl Bishop, Christopher J verfasserin aut Models for the Speiser class 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. Nutzungsrecht: © 2017 London Mathematical Society 37F10 (secondary) 30C62 30D15 (primary) Enthalten in Proceedings of the London Mathematical Society New York, NY [u.a.] : Wiley, 1865 114(2017), 5, Seite 765-797 (DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 0024-6115 nnns volume:114 year:2017 number:5 pages:765-797 http://dx.doi.org/10.1112/plms.12025 Volltext http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 31.00 AVZ AR 114 2017 5 765-797 |
| allfields_unstemmed |
10.1112/plms.12025 doi PQ20170501 (DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass DE-627 ger DE-627 rakwb eng 510 DNB 31.00 bkl Bishop, Christopher J verfasserin aut Models for the Speiser class 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. Nutzungsrecht: © 2017 London Mathematical Society 37F10 (secondary) 30C62 30D15 (primary) Enthalten in Proceedings of the London Mathematical Society New York, NY [u.a.] : Wiley, 1865 114(2017), 5, Seite 765-797 (DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 0024-6115 nnns volume:114 year:2017 number:5 pages:765-797 http://dx.doi.org/10.1112/plms.12025 Volltext http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 31.00 AVZ AR 114 2017 5 765-797 |
| allfieldsGer |
10.1112/plms.12025 doi PQ20170501 (DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass DE-627 ger DE-627 rakwb eng 510 DNB 31.00 bkl Bishop, Christopher J verfasserin aut Models for the Speiser class 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. Nutzungsrecht: © 2017 London Mathematical Society 37F10 (secondary) 30C62 30D15 (primary) Enthalten in Proceedings of the London Mathematical Society New York, NY [u.a.] : Wiley, 1865 114(2017), 5, Seite 765-797 (DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 0024-6115 nnns volume:114 year:2017 number:5 pages:765-797 http://dx.doi.org/10.1112/plms.12025 Volltext http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 31.00 AVZ AR 114 2017 5 765-797 |
| allfieldsSound |
10.1112/plms.12025 doi PQ20170501 (DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass DE-627 ger DE-627 rakwb eng 510 DNB 31.00 bkl Bishop, Christopher J verfasserin aut Models for the Speiser class 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. Nutzungsrecht: © 2017 London Mathematical Society 37F10 (secondary) 30C62 30D15 (primary) Enthalten in Proceedings of the London Mathematical Society New York, NY [u.a.] : Wiley, 1865 114(2017), 5, Seite 765-797 (DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 0024-6115 nnns volume:114 year:2017 number:5 pages:765-797 http://dx.doi.org/10.1112/plms.12025 Volltext http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 31.00 AVZ AR 114 2017 5 765-797 |
| language |
English |
| source |
Enthalten in Proceedings of the London Mathematical Society 114(2017), 5, Seite 765-797 volume:114 year:2017 number:5 pages:765-797 |
| sourceStr |
Enthalten in Proceedings of the London Mathematical Society 114(2017), 5, Seite 765-797 volume:114 year:2017 number:5 pages:765-797 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
37F10 (secondary) 30C62 30D15 (primary) |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Proceedings of the London Mathematical Society |
| authorswithroles_txt_mv |
Bishop, Christopher J @@aut@@ |
| publishDateDaySort_date |
2017-01-01T00:00:00Z |
| hierarchy_top_id |
129304891 |
| dewey-sort |
3510 |
| id |
OLC1992198144 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1992198144</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220216054055.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170512s2017 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1112/plms.12025</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170501</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1992198144</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1992198144</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0040054820170000114000500765modelsforthespeiserclass</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bishop, Christopher J</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Models for the Speiser class</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: © 2017 London Mathematical Society</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">37F10 (secondary)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">30C62</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">30D15 (primary)</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Proceedings of the London Mathematical Society</subfield><subfield code="d">New York, NY [u.a.] : Wiley, 1865</subfield><subfield code="g">114(2017), 5, Seite 765-797</subfield><subfield code="w">(DE-627)129304891</subfield><subfield code="w">(DE-600)124011-0</subfield><subfield code="w">(DE-576)014500159</subfield><subfield code="x">0024-6115</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:114</subfield><subfield code="g">year:2017</subfield><subfield code="g">number:5</subfield><subfield code="g">pages:765-797</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1112/plms.12025</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4116</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4193</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">AVZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">114</subfield><subfield code="j">2017</subfield><subfield code="e">5</subfield><subfield code="h">765-797</subfield></datafield></record></collection>
|
| author |
Bishop, Christopher J |
| spellingShingle |
Bishop, Christopher J ddc 510 bkl 31.00 misc 37F10 (secondary) misc 30C62 misc 30D15 (primary) Models for the Speiser class |
| authorStr |
Bishop, Christopher J |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129304891 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0024-6115 |
| topic_title |
510 DNB 31.00 bkl Models for the Speiser class 37F10 (secondary) 30C62 30D15 (primary) |
| topic |
ddc 510 bkl 31.00 misc 37F10 (secondary) misc 30C62 misc 30D15 (primary) |
| topic_unstemmed |
ddc 510 bkl 31.00 misc 37F10 (secondary) misc 30C62 misc 30D15 (primary) |
| topic_browse |
ddc 510 bkl 31.00 misc 37F10 (secondary) misc 30C62 misc 30D15 (primary) |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Proceedings of the London Mathematical Society |
| hierarchy_parent_id |
129304891 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Proceedings of the London Mathematical Society |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129304891 (DE-600)124011-0 (DE-576)014500159 |
| title |
Models for the Speiser class |
| ctrlnum |
(DE-627)OLC1992198144 (DE-599)GBVOLC1992198144 (PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950 (KEY)0040054820170000114000500765modelsforthespeiserclass |
| title_full |
Models for the Speiser class |
| author_sort |
Bishop, Christopher J |
| journal |
Proceedings of the London Mathematical Society |
| journalStr |
Proceedings of the London Mathematical Society |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2017 |
| contenttype_str_mv |
txt |
| container_start_page |
765 |
| author_browse |
Bishop, Christopher J |
| container_volume |
114 |
| class |
510 DNB 31.00 bkl |
| format_se |
Aufsätze |
| author-letter |
Bishop, Christopher J |
| doi_str_mv |
10.1112/plms.12025 |
| dewey-full |
510 |
| title_sort |
models for the speiser class |
| title_auth |
Models for the Speiser class |
| abstract |
The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. |
| abstractGer |
The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. |
| abstract_unstemmed |
The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions. |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4700 |
| container_issue |
5 |
| title_short |
Models for the Speiser class |
| url |
http://dx.doi.org/10.1112/plms.12025 http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract |
| remote_bool |
false |
| ppnlink |
129304891 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1112/plms.12025 |
| up_date |
2024-07-04T04:27:45.483Z |
| _version_ |
1803621252969005056 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1992198144</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220216054055.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170512s2017 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1112/plms.12025</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170501</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1992198144</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1992198144</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)c775-9f41684256678b0661d935f2c32a2ce71cae995c89aea294aa3780bc1b7c39950</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0040054820170000114000500765modelsforthespeiserclass</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bishop, Christopher J</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Models for the Speiser class</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Eremenko–Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In an earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221), I gave a method for constructing Eremenko–Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, and that the stronger approximation of the earlier work ( J. Lond. Math. Soc . 92 (2015) 202–221) can fail for the Speiser class. In particular, I give geometric restrictions on the geometry of a Speiser class function that need not be satisfied by general Eremenko–Lyubich functions.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: © 2017 London Mathematical Society</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">37F10 (secondary)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">30C62</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">30D15 (primary)</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Proceedings of the London Mathematical Society</subfield><subfield code="d">New York, NY [u.a.] : Wiley, 1865</subfield><subfield code="g">114(2017), 5, Seite 765-797</subfield><subfield code="w">(DE-627)129304891</subfield><subfield code="w">(DE-600)124011-0</subfield><subfield code="w">(DE-576)014500159</subfield><subfield code="x">0024-6115</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:114</subfield><subfield code="g">year:2017</subfield><subfield code="g">number:5</subfield><subfield code="g">pages:765-797</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1112/plms.12025</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://onlinelibrary.wiley.com/doi/10.1112/plms.12025/abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4116</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4193</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">AVZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">114</subfield><subfield code="j">2017</subfield><subfield code="e">5</subfield><subfield code="h">765-797</subfield></datafield></record></collection>
|
| score |
7.399255 |