Some new q-series identities through an extended Bailey transform

被引:0
|
作者
El Bachraoui, Mohamed [1 ]
机构
[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
来源
RAMANUJAN JOURNAL | 2022年 / 58卷 / 03期
关键词
q-Series identities; Bailey transform; Basic hypergeometric series; GAUSS;
D O I
10.1007/s11139-021-00455-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, a variety of new formulas for basic hypergeometric series will be derived by an application of a single Bailey-type transform to some q-series formulas which appeared recently in the literature.
引用
收藏
页码:747 / 769
页数:23
相关论文
共 50 条
  • [21] SOME FAMILIES OF MULTILINEAR Q-GENERATING FUNCTIONS AND COMBINATORIAL Q-SERIES IDENTITIES
    JAIN, VK
    SRIVASTAVA, HM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) : 413 - 438
  • [22] BILATERAL q-SERIES IDENTITIES AND RECIPROCAL FORMULAE
    Chu, Wenchang
    Zhang, Wenlong
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2010, 42 (02) : 153 - 162
  • [23] Supernomial Coefficients, Polynomial Identities and q-Series
    Anne Schilling
    S. Ole Warnaar
    The Ramanujan Journal, 1998, 2 : 459 - 494
  • [24] On some transformations of q-series
    Zhang, Zhizheng
    Hu, Qiuxia
    UTILITAS MATHEMATICA, 2008, 77 : 277 - 285
  • [25] Supernomial coefficients, polynomial identities and q-series
    Schilling, A
    Warnaar, SO
    RAMANUJAN JOURNAL, 1998, 2 (04): : 459 - 494
  • [26] On q-series identities related to interval orders
    Andrews, George E.
    Jelinek, Vit
    EUROPEAN JOURNAL OF COMBINATORICS, 2014, 39 : 178 - 187
  • [27] On the identities of Ramanujan-a q-series approach
    Srivastava, Bhaskar
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2023, 27 (01): : 93 - 99
  • [28] Some new expansions for certain truncated q-series
    Mao, Renrong
    RAMANUJAN JOURNAL, 2018, 46 (02): : 475 - 481
  • [29] Some new expansions for certain truncated q-series
    Renrong Mao
    The Ramanujan Journal, 2018, 46 : 475 - 481
  • [30] Several q-series transformation formulas and new Hecke–Rogers type series identities
    Ying Zhang
    Wenlong Zhang
    Jingjing Zhang
    The Ramanujan Journal, 2023, 60 : 627 - 657