A %$U(n+1)%$ WP-Bailey lattice and its applications

Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Zhang, Zhizheng [verfasserIn] Huang, Junli [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2017

Schlagwörter:	WP-Bailey pair -Series Bailey pair WP-Bailey chain basic hypergeometric series Multiple basic hypergeometric series over the root system of type A

Übergeordnetes Werk:	Enthalten in: The Ramanujan journal - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997, 46(2017), 2 vom: 20. Okt., Seite 403-429
Übergeordnetes Werk:	volume:46 ; year:2017 ; number:2 ; day:20 ; month:10 ; pages:403-429

Links:	Volltext

DOI / URN:	10.1007/s11139-017-9942-1

Katalog-ID:	SPR017035872

Internformat


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520			\|a Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity.
650		4	\|a WP-Bailey pair \|7 (dpeaa)DE-He213
650		4	\|a -Series \|7 (dpeaa)DE-He213
650		4	\|a Bailey pair \|7 (dpeaa)DE-He213
650		4	\|a WP-Bailey chain \|7 (dpeaa)DE-He213
650		4	\|a basic hypergeometric series \|7 (dpeaa)DE-He213
650		4	\|a Multiple basic hypergeometric series over the root system of type A \|7 (dpeaa)DE-He213
700	1		\|a Huang, Junli \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t The Ramanujan journal \|d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 \|g 46(2017), 2 vom: 20. Okt., Seite 403-429 \|w (DE-627)320521133 \|w (DE-600)2014600-0 \|x 1572-9303 \|7 nnns
773	1	8	\|g volume:46 \|g year:2017 \|g number:2 \|g day:20 \|g month:10 \|g pages:403-429
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912			\|a GBV_USEFLAG_A
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912			\|a SSG-OPC-ASE
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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_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_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_2070
912			\|a GBV_ILN_2086
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_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
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_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
912			\|a GBV_ILN_4700
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Indexfelder

author_variant	z z zz j h jh
matchkey_str	article:15729303:2017----::u1palyatcadta
hierarchy_sort_str	2017
bklnumber	31.00
publishDate	2017
allfields	10.1007/s11139-017-9942-1 doi (DE-627)SPR017035872 (SPR)s11139-017-9942-1-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Zhang, Zhizheng verfasserin aut A %$U(n+1)%$ WP-Bailey lattice and its applications 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity. WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213 Huang, Junli verfasserin aut Enthalten in The Ramanujan journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 46(2017), 2 vom: 20. Okt., Seite 403-429 (DE-627)320521133 (DE-600)2014600-0 1572-9303 nnns volume:46 year:2017 number:2 day:20 month:10 pages:403-429 https://dx.doi.org/10.1007/s11139-017-9942-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 31.00 ASE AR 46 2017 2 20 10 403-429
spelling	10.1007/s11139-017-9942-1 doi (DE-627)SPR017035872 (SPR)s11139-017-9942-1-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Zhang, Zhizheng verfasserin aut A %$U(n+1)%$ WP-Bailey lattice and its applications 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity. WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213 Huang, Junli verfasserin aut Enthalten in The Ramanujan journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 46(2017), 2 vom: 20. Okt., Seite 403-429 (DE-627)320521133 (DE-600)2014600-0 1572-9303 nnns volume:46 year:2017 number:2 day:20 month:10 pages:403-429 https://dx.doi.org/10.1007/s11139-017-9942-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 31.00 ASE AR 46 2017 2 20 10 403-429
allfields_unstemmed	10.1007/s11139-017-9942-1 doi (DE-627)SPR017035872 (SPR)s11139-017-9942-1-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Zhang, Zhizheng verfasserin aut A %$U(n+1)%$ WP-Bailey lattice and its applications 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity. WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213 Huang, Junli verfasserin aut Enthalten in The Ramanujan journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 46(2017), 2 vom: 20. Okt., Seite 403-429 (DE-627)320521133 (DE-600)2014600-0 1572-9303 nnns volume:46 year:2017 number:2 day:20 month:10 pages:403-429 https://dx.doi.org/10.1007/s11139-017-9942-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 31.00 ASE AR 46 2017 2 20 10 403-429
allfieldsGer	10.1007/s11139-017-9942-1 doi (DE-627)SPR017035872 (SPR)s11139-017-9942-1-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Zhang, Zhizheng verfasserin aut A %$U(n+1)%$ WP-Bailey lattice and its applications 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity. WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213 Huang, Junli verfasserin aut Enthalten in The Ramanujan journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 46(2017), 2 vom: 20. Okt., Seite 403-429 (DE-627)320521133 (DE-600)2014600-0 1572-9303 nnns volume:46 year:2017 number:2 day:20 month:10 pages:403-429 https://dx.doi.org/10.1007/s11139-017-9942-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 31.00 ASE AR 46 2017 2 20 10 403-429
allfieldsSound	10.1007/s11139-017-9942-1 doi (DE-627)SPR017035872 (SPR)s11139-017-9942-1-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Zhang, Zhizheng verfasserin aut A %$U(n+1)%$ WP-Bailey lattice and its applications 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity. WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213 Huang, Junli verfasserin aut Enthalten in The Ramanujan journal Dordrecht [u.a.] : Springer Science + Business Media B.V, 1997 46(2017), 2 vom: 20. Okt., Seite 403-429 (DE-627)320521133 (DE-600)2014600-0 1572-9303 nnns volume:46 year:2017 number:2 day:20 month:10 pages:403-429 https://dx.doi.org/10.1007/s11139-017-9942-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 31.00 ASE AR 46 2017 2 20 10 403-429
language	English
source	Enthalten in The Ramanujan journal 46(2017), 2 vom: 20. Okt., Seite 403-429 volume:46 year:2017 number:2 day:20 month:10 pages:403-429
sourceStr	Enthalten in The Ramanujan journal 46(2017), 2 vom: 20. Okt., Seite 403-429 volume:46 year:2017 number:2 day:20 month:10 pages:403-429
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	WP-Bailey pair -Series Bailey pair WP-Bailey chain basic hypergeometric series Multiple basic hypergeometric series over the root system of type A
dewey-raw	510
isfreeaccess_bool	false
container_title	The Ramanujan journal
authorswithroles_txt_mv	Zhang, Zhizheng @@aut@@ Huang, Junli @@aut@@
publishDateDaySort_date	2017-10-20T00:00:00Z
hierarchy_top_id	320521133
dewey-sort	3510
id	SPR017035872
language_de	englisch
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author	Zhang, Zhizheng
spellingShingle	Zhang, Zhizheng ddc 510 bkl 31.00 misc WP-Bailey pair misc -Series misc Bailey pair misc WP-Bailey chain misc basic hypergeometric series misc Multiple basic hypergeometric series over the root system of type A A %$U(n+1)%$ WP-Bailey lattice and its applications
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topic_title	510 ASE 31.00 bkl A %$U(n+1)%$ WP-Bailey lattice and its applications WP-Bailey pair (dpeaa)DE-He213 -Series (dpeaa)DE-He213 Bailey pair (dpeaa)DE-He213 WP-Bailey chain (dpeaa)DE-He213 basic hypergeometric series (dpeaa)DE-He213 Multiple basic hypergeometric series over the root system of type A (dpeaa)DE-He213
topic	ddc 510 bkl 31.00 misc WP-Bailey pair misc -Series misc Bailey pair misc WP-Bailey chain misc basic hypergeometric series misc Multiple basic hypergeometric series over the root system of type A
topic_unstemmed	ddc 510 bkl 31.00 misc WP-Bailey pair misc -Series misc Bailey pair misc WP-Bailey chain misc basic hypergeometric series misc Multiple basic hypergeometric series over the root system of type A
topic_browse	ddc 510 bkl 31.00 misc WP-Bailey pair misc -Series misc Bailey pair misc WP-Bailey chain misc basic hypergeometric series misc Multiple basic hypergeometric series over the root system of type A
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title	A %$U(n+1)%$ WP-Bailey lattice and its applications
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title_full	A %$U(n+1)%$ WP-Bailey lattice and its applications
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title_sort	%$u(n+1)%$ wp-bailey lattice and its applications
title_auth	A %$U(n+1)%$ WP-Bailey lattice and its applications
abstract	Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity.
abstractGer	Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity.
abstract_unstemmed	Abstract In this paper, we establish a %$U(n+1)%$ WP-Bailey lattice. By iterating this method, we obtain a %$U(n+1)%$ transformation formula for %$U(n+1)%$ WP-Bailey pairs. By considering the %$U(n+1)%$ unit WP-Bailey pair, several new %$U(n+1)%$ transformation formulas are given. In particular, we give a new %$U(n+1)%$ Andrews–Gordon identity.
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title_short	A %$U(n+1)%$ WP-Bailey lattice and its applications
url	https://dx.doi.org/10.1007/s11139-017-9942-1
remote_bool	true
author2	Huang, Junli
author2Str	Huang, Junli
ppnlink	320521133
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doi_str	10.1007/s11139-017-9942-1
up_date	2024-07-04T01:57:47.899Z
_version_	1803611818322558976
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