Summation Formulae for Quintic q-Series

被引：1
作者：
Chu, Wenchang [1 ,2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China
[2] Univ Salento, Dept Math & Phys, POB 193, I-73100 Lecce, Italy
来源：
MATHEMATICS | 2022年 / 10卷 / 13期
关键词：
basic hypergeometric series; twisted cubic q-series; quintic q-series; reversal series; Abel's lemma on summation by parts; ABELS METHOD; PARTS; TRANSFORMATION; IDENTITIES; LEMMA; QUINTUPLE; INVERSION; PROOF;
D O I：
10.3390/math10132210
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By utilizing the modified Abel lemma on summation by parts, we examine a class of quintic q-series, that have close connections to the "twisted cubic q-series". Several remarkable summation and transformation formulae are established. The related reversal series are also reviewed briefly.
引用
收藏
页数：12
相关论文
共 50 条
  • [21] Summation formulae for elliptic hypergeometric series
    Warnaar, SO
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (02) : 519 - 527
  • [22] Three cubic q-series of Gasper and Rahman
    Wang, Chenying
    Xu, Jianan
    RAMANUJAN JOURNAL, 2022, 59 (01) : 199 - 210
  • [23] 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
  • [24] Abel's method on summation by parts and terminating well-poised q-series identities
    Chu, Wenchang
    Jia, Cangzhi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (02) : 360 - 370
  • [25] Contiguous relations and summation and transformation formulae for basic hypergeometric series
    Gao, Feng
    Guo, Victor J. W.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (12) : 2029 - 2042
  • [26] ON SOME MORE q-SERIES IDENTITIES
    Singh, S. N.
    Singh, Satya Prakash
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 669 - 676
  • [27] New contiguous relations for a balanced q-series and their applications
    Chenying Wang
    Jianan Xu
    The Ramanujan Journal, 2024, 64 : 275 - 287
  • [28] q-Triplicate inverse series relations with applications to q-series
    Zhang, YS
    Chen, W
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (04) : 1407 - 1427
  • [29] Transformation and summation formulae for Kampe de Feriet series
    Liu, Hongmei
    Wang, Weiping
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) : 100 - 110
  • [30] Quantum q-series and mock theta functions
    Folsom, Amanda
    Metacarpa, David
    RESEARCH IN THE MATHEMATICAL SCIENCES, 2024, 11 (02)
12345