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
  • [41] On q-series identities for false theta series
    Jennings-Shaffer, Chris
    Milas, Antun
    ADVANCES IN MATHEMATICS, 2020, 375
  • [42] ON SOME MORE q-SERIES IDENTITIES
    Singh, S. N.
    Singh, Satya Prakash
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 669 - 676
  • [43] Quantum Dilogarithms and Partition q-Series
    Kato, Akishi
    Terashima, Yuji
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 338 (01) : 457 - 481
  • [44] On Arithmetical Properties of Certain q-Series
    Ville Merilä
    Results in Mathematics, 2009, 53 : 129 - 151
  • [45] Remarks on MacMahon's q-series
    Ono, Ken
    Singh, Ajit
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2024, 207
  • [46] On certain pairs of q-series identities
    Pee Choon Toh
    The Ramanujan Journal, 2016, 40 : 359 - 365
  • [47] An Expansion Formula for q-Series and Applications
    Zhi-Guo Liu
    The Ramanujan Journal, 2002, 6 : 429 - 447
  • [48] Some summations of q-series by telescoping
    Subbarao, MV
    Verma, A
    PACIFIC JOURNAL OF MATHEMATICS, 1999, 191 (01) : 173 - 182
  • [49] Some interesting q-series identities
    Hirschhorn, Michael D.
    RAMANUJAN JOURNAL, 2015, 36 (1-2): : 297 - 304
  • [50] Evaluating a class of balanced q-series
    Chu, Wenchang
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (05) : 2699 - 2706
12345