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
  • [31] An Euler product transform applied to q-series
    Geoffrey B. Campbell
    The Ramanujan Journal, 2006, 12 : 267 - 293
  • [32] An Euler product transform applied to q-series
    Campbell, Geoffrey B.
    RAMANUJAN JOURNAL, 2006, 12 (02): : 267 - 293
  • [33] Some summations of q-series by telescoping
    Subbarao, MV
    Verma, A
    PACIFIC JOURNAL OF MATHEMATICS, 1999, 191 (01) : 173 - 182
  • [34] Factorizations of certain q-series identities of Ramanujan and others
    Michael D. Hirschhorn
    The Ramanujan Journal, 2013, 31 : 15 - 22
  • [35] An algorithmic approach to discovering and proving q-series identities
    Andrews, GE
    Knopfmacher, A
    ALGORITHMICA, 2001, 29 (1-2) : 34 - 43
  • [36] An Algorithmic Approach to Discovering and Proving q-Series Identities
    Andrews, G.E.
    Knopfmacher, A.
    Algorithmica (New York), 2001, 29 (1-2): : 34 - 43
  • [37] Factorizations of certain q-series identities of Ramanujan and others
    Hirschhorn, Michael D.
    RAMANUJAN JOURNAL, 2013, 31 (1-2): : 15 - 22
  • [38] Several q-series identities related to Jackson's
    Zhang, Zhizheng
    Pang, Jinsheng
    ARS COMBINATORIA, 2011, 102 : 139 - 145
  • [39] A Method of Deriving Companion Identities Associating q-Series
    Yadav, Keshav Prasad
    Kumar, Adarsh
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (01): : 443 - 453
  • [40] Scaled asymptotics for some q-series
    Zhang, Ruiming
    QUARTERLY JOURNAL OF MATHEMATICS, 2008, 59 : 389 - 407