ABEL'S METHOD ON SUMMATION BY PARTS AND BALANCED q-SERIES IDENTITIES

被引：2
|
作者：
Chu, Wenchang [1 ]
机构：
[1] Univ Salento, Dipartimento Matemat, I-73100 Lecce, Italy
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2010年 / 4卷 / 01期
关键词：
Abel's lemma on summation by parts; basic hypergeometric series; BASIC HYPERGEOMETRIC-SERIES;
D O I：
10.2298/AADM1000006C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Abel method on summation by parts is reformulated to present new and elementary proofs of several classical identities of terminating balanced basic hypergeometric series. The examples strengthen our conviction that as traditional analytical instrument, the revised Abel method on summation by parts is indeed a very natural choice for working with basic hypergeometric series.
引用
收藏
页码：54 / 65
页数：12
相关论文
共 50 条
  • [31] SOME IDENTITIES FOR TERMINATING Q-SERIES
    BRESSOUD, DM
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 89 (MAR) : 211 - 223
  • [32] On certain pairs of q-series identities
    Toh, Pee Choon
    RAMANUJAN JOURNAL, 2016, 40 (02): : 359 - 365
  • [33] Combinatorial proofs of q-series identities
    Chapman, R
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2002, 99 (01) : 1 - 16
  • [34] Evaluating a class of balanced q-series
    Chu, Wenchang
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (05) : 2699 - 2706
  • [35] CERTAIN TRANSFORMATION AND SUMMATION FORMULAE FOR q-SERIES
    Denis, Remy Y.
    Singh, S. N.
    Singh, S. P.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, (27): : 179 - 190
  • [36] Summation formulae for twisted cubic q-series
    Chu, Wenchang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1831 - 1843
  • [37] Abel's method on summation by parts and hypergeometric contiguous relations
    Chu, Wenchang
    Wang, Xiaoxia
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (11) : 771 - 807
  • [38] New Curious Bilateral q-Series Identities
    Jouhet, Frederic
    Schlosser, Michael J.
    AXIOMS, 2012, 1 (03): : 365 - 371
  • [39] Rogers-Ramanujan type identities via Abel's lemma on summation by parts
    Chu, Wenchang
    RAMANUJAN JOURNAL, 2019, 48 (03): : 459 - 476
  • [40] BILATERAL q-SERIES IDENTITIES AND RECIPROCAL FORMULAE
    Chu, Wenchang
    Zhang, Wenlong
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2010, 42 (02) : 153 - 162
12345