Applications of Some Hypergeometric Summation Theorems Involving Double Series

H. M. Srivastava; M. I. Qureshi; Kaleem A. Quraishi; Rahul Singh

doi:10.2478/v10294-012-0013-3

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Applications of Some Hypergeometric Summation Theorems Involving Double Series

Journal of Applied Mathematics, Statistics and Informatics

Volume 8 (2012): Issue 2 (December 2012)

By: H. M. Srivastava, M. I. Qureshi, Kaleem A. Quraishi and Rahul Singh

Open Access

|Apr 2013

Abstract

The main object of this paper is to derive a number of general double series identities and to apply each of these identities in order to deduce several hypergeometric reduction formulas for the Srivastava-Daoust double hypergeometric function. The results presented in this paper are based essentially upon some

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Articles in this issue

DOI: https://doi.org/10.2478/v10294-012-0013-3 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 37 - 48

Published on: Apr 13, 2013

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Series identities,

Hypergeometric summation theorems,

Series rearrangement techniques,

Pochhammer's symbol,

Gamma function,

Hypergeometric reduction formulas,

Srivastava-Daoust double and multiple hypergeometric functions,

Gauss-Legendre multiplication formula

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2013 H. M. Srivastava, M. I. Qureshi, Kaleem A. Quraishi, Rahul Singh, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons License.

Volume 8 (2012): Issue 2 (December 2012)