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
  • [11] Summation formulae for a class of terminating balanced q-series
    Chen, Xiaojing
    Chu, Wenchang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 451 (01) : 508 - 523
  • [12] Abel's method on summation by parts and theta hypergeometric series
    Chu, Wenchang
    Jia, Cangzhi
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, 115 (05) : 815 - 844
  • [13] ABEL'S METHOD ON SUMMATION BY PARTS FOR ELLIPTIC HYPERGEOMETRIC SERIES
    Chu, Wenchang
    Jia, Cangzhi
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (03) : 337 - 353
  • [14] The modified Abel lemma on summation by parts and terminating hypergeometric series identities
    Chu, Wenchang
    Wang, Xiaoxia
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (02) : 93 - 118
  • [15] ABEL'S METHOD ON SUMMATION BY PARTS AND BILATERAL WELL-POISED 3ψ3-SERIES IDENTITIES
    Wenchang, Chu
    DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, 2007, : 752 - 761
  • [16] Abel's method on summation by parts and well-poised bilateral 5ψ5-series identities
    Chu, Wenchang
    PORTUGALIAE MATHEMATICA, 2009, 66 (03) : 275 - 302
  • [17] Extension of Abel's lemma with q-series implications
    Andrews, GE
    Freitas, P
    RAMANUJAN JOURNAL, 2005, 10 (02): : 137 - 152
  • [18] Extension of Abel's Lemma with q-Series Implications
    George E. Andrews
    Pedro Freitas
    The Ramanujan Journal, 2005, 10 : 137 - 152
  • [19] 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
  • [20] 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
12345