A normal criterion concerning zero numbers

Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Sun, Chengxiong [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Meromorphic function Normal family Shared value

Anmerkung:	© The Author(s) 2021

Übergeordnetes Werk:	Enthalten in: Rendiconti del Circolo Matematico di Palermo - Milano : Springer Italia, 1884, 72(2021), 1 vom: 17. Nov., Seite 515-523
Übergeordnetes Werk:	volume:72 ; year:2021 ; number:1 ; day:17 ; month:11 ; pages:515-523

Links:	Volltext

DOI / URN:	10.1007/s12215-021-00636-4

Katalog-ID:	SPR049228285

Internformat


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245	1	2	\|a A normal criterion concerning zero numbers
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520			\|a Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D.
650		4	\|a Meromorphic function \|7 (dpeaa)DE-He213
650		4	\|a Normal family \|7 (dpeaa)DE-He213
650		4	\|a Shared value \|7 (dpeaa)DE-He213
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912			\|a GBV_USEFLAG_A
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912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
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952			\|d 72 \|j 2021 \|e 1 \|b 17 \|c 11 \|h 515-523

Indexfelder

author_variant	c s cs
matchkey_str	article:0009725X:2021----::nracieinocrig
hierarchy_sort_str	2021
publishDate	2021
allfields	10.1007/s12215-021-00636-4 doi (DE-627)SPR049228285 (SPR)s12215-021-00636-4-e DE-627 ger DE-627 rakwb eng Sun, Chengxiong verfasserin aut A normal criterion concerning zero numbers 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213 Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 72(2021), 1 vom: 17. Nov., Seite 515-523 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:72 year:2021 number:1 day:17 month:11 pages:515-523 https://dx.doi.org/10.1007/s12215-021-00636-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2021 1 17 11 515-523
spelling	10.1007/s12215-021-00636-4 doi (DE-627)SPR049228285 (SPR)s12215-021-00636-4-e DE-627 ger DE-627 rakwb eng Sun, Chengxiong verfasserin aut A normal criterion concerning zero numbers 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213 Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 72(2021), 1 vom: 17. Nov., Seite 515-523 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:72 year:2021 number:1 day:17 month:11 pages:515-523 https://dx.doi.org/10.1007/s12215-021-00636-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2021 1 17 11 515-523
allfields_unstemmed	10.1007/s12215-021-00636-4 doi (DE-627)SPR049228285 (SPR)s12215-021-00636-4-e DE-627 ger DE-627 rakwb eng Sun, Chengxiong verfasserin aut A normal criterion concerning zero numbers 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213 Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 72(2021), 1 vom: 17. Nov., Seite 515-523 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:72 year:2021 number:1 day:17 month:11 pages:515-523 https://dx.doi.org/10.1007/s12215-021-00636-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2021 1 17 11 515-523
allfieldsGer	10.1007/s12215-021-00636-4 doi (DE-627)SPR049228285 (SPR)s12215-021-00636-4-e DE-627 ger DE-627 rakwb eng Sun, Chengxiong verfasserin aut A normal criterion concerning zero numbers 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213 Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 72(2021), 1 vom: 17. Nov., Seite 515-523 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:72 year:2021 number:1 day:17 month:11 pages:515-523 https://dx.doi.org/10.1007/s12215-021-00636-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2021 1 17 11 515-523
allfieldsSound	10.1007/s12215-021-00636-4 doi (DE-627)SPR049228285 (SPR)s12215-021-00636-4-e DE-627 ger DE-627 rakwb eng Sun, Chengxiong verfasserin aut A normal criterion concerning zero numbers 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213 Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 72(2021), 1 vom: 17. Nov., Seite 515-523 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:72 year:2021 number:1 day:17 month:11 pages:515-523 https://dx.doi.org/10.1007/s12215-021-00636-4 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 72 2021 1 17 11 515-523
language	English
source	Enthalten in Rendiconti del Circolo Matematico di Palermo 72(2021), 1 vom: 17. Nov., Seite 515-523 volume:72 year:2021 number:1 day:17 month:11 pages:515-523
sourceStr	Enthalten in Rendiconti del Circolo Matematico di Palermo 72(2021), 1 vom: 17. Nov., Seite 515-523 volume:72 year:2021 number:1 day:17 month:11 pages:515-523
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Meromorphic function Normal family Shared value
isfreeaccess_bool	true
container_title	Rendiconti del Circolo Matematico di Palermo
authorswithroles_txt_mv	Sun, Chengxiong @@aut@@
publishDateDaySort_date	2021-11-17T00:00:00Z
hierarchy_top_id	560173067
id	SPR049228285
language_de	englisch
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author	Sun, Chengxiong
spellingShingle	Sun, Chengxiong misc Meromorphic function misc Normal family misc Shared value A normal criterion concerning zero numbers
authorStr	Sun, Chengxiong
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topic_title	A normal criterion concerning zero numbers Meromorphic function (dpeaa)DE-He213 Normal family (dpeaa)DE-He213 Shared value (dpeaa)DE-He213
topic	misc Meromorphic function misc Normal family misc Shared value
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title	A normal criterion concerning zero numbers
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title_full	A normal criterion concerning zero numbers
author_sort	Sun, Chengxiong
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journalStr	Rendiconti del Circolo Matematico di Palermo
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author_browse	Sun, Chengxiong
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author-letter	Sun, Chengxiong
doi_str_mv	10.1007/s12215-021-00636-4
title_sort	normal criterion concerning zero numbers
title_auth	A normal criterion concerning zero numbers
abstract	Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. © The Author(s) 2021
abstractGer	Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. © The Author(s) 2021
abstract_unstemmed	Abstract Let %$n \ge 4%$ be a positive integer, %$\mathcal {F}%$ be a family of meromorphic functions in D and let %$a(z)(\not \equiv 0), b(z)%$ be two holomorphic functions in D. If, for any function %$f \in \mathcal { F}%$, (1)%$f(z) \ne \infty %$ when %$a(z)=0%$, (2) %$f'(z)-a(z)f^{n}(z)-b(z)%$ has at most one zero in D, then %$\mathcal {F}%$ is normal in D. © The Author(s) 2021
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title_short	A normal criterion concerning zero numbers
url	https://dx.doi.org/10.1007/s12215-021-00636-4
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up_date	2024-07-03T23:56:28.819Z
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A normal criterion concerning zero numbers

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