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
  • [1] Some new q-series identities through an extended Bailey transform
    Mohamed El Bachraoui
    The Ramanujan Journal, 2022, 58 : 747 - 769
  • [2] DIVISORS, PARTITIONS AND SOME NEW q-SERIES IDENTITIES
    Patkowski, Alexander E.
    COLLOQUIUM MATHEMATICUM, 2009, 117 (02) : 289 - 294
  • [3] ON SOME MORE q-SERIES IDENTITIES
    Singh, S. N.
    Singh, Satya Prakash
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 669 - 676
  • [4] Some interesting q-series identities
    Hirschhorn, Michael D.
    RAMANUJAN JOURNAL, 2015, 36 (1-2): : 297 - 304
  • [6] New Curious Bilateral q-Series Identities
    Jouhet, Frederic
    Schlosser, Michael J.
    AXIOMS, 2012, 1 (03): : 365 - 371
  • [7] Certain q-series identities
    Agarwal, Praveen
    Jain, Shilpi
    Choi, Junesang
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (01) : 139 - 146
  • [8] SOME Q-SERIES IDENTITIES RELATED TO DIVISOR FUNCTIONS
    DILCHER, K
    DISCRETE MATHEMATICS, 1995, 145 (1-3) : 83 - 93
  • [9] Some operator identities and q-series transformation formulas
    Liu, ZG
    DISCRETE MATHEMATICS, 2003, 265 (1-3) : 119 - 139
  • [10] Certain q-series identities
    Praveen Agarwal
    Shilpi Jain
    Junesang Choi
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 : 139 - 146