Approach of q-Derivative Operators to Terminating q-Series Formulae-Reference-Cited by-同舟云学术

Approach of q-Derivative Operators to Terminating q-Series Formulae

Published:2018-12-01 Issue:2 Volume:26 Page:99-111
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Wang Xiaoyuan¹,Chu Wenchang²

Affiliation:

1. School of Science , Dalian Jiaotong University , Dalian 116028, P. R. China

2. School of Mathematics and Statistics , Zhoukou Normal University , Zhoukou (Henan), P. R. China and Dipartimento di Matematica e Fisica , Università del Salento , Arnesano, P. O. Box 193, 73100 Lecce , Italy

Abstract

Abstract The q-derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric series.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2018-0007

Reference33 articles.

1. [1] W.A. Al-Salam, A. Verma: On quadratic transformations of basic series. SIAM J. Math. 15 (1984) 414–420.

2. [2] G.E. Andrews: On q-analogues of the Watson and Whipple summations. SIAM J. Math. 7 (3) (1976) 332–336.

3. [3] G.E. Andrews: Connection coefficient problems and partitions. Proc. Sympos. Pure Math. 34 (1979) 1–24.

4. [4] G.E. Andrews: Pfa ‘s method (II): diverse applications. J. Comp. and Appl. Math. 68 (1–2) (1996) 15–23.

5. [5] W.N. Bailey: Generalized Hypergeometric Series. Cambridge University Press, Cambridge (1935).

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