On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series  and Its Applications

D. D. Somashekara; K. Narasimha Murthy; S. L. Shalini

doi:10.1155/2011/132081

International Journal of Mathematics and Mathematical Sciences (Jan 2011)

On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series and Its Applications

D. D. Somashekara,
K. Narasimha Murthy,
S. L. Shalini

Affiliations

D. D. Somashekara: Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570006, India
K. Narasimha Murthy: Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570006, India
S. L. Shalini: Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570006, India

DOI: https://doi.org/10.1155/2011/132081
Journal volume & issue: Vol. 2011

Abstract

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We have obtained a new summation formula for 2𝜓2 bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, 𝑞-gamma, and 𝑞-beta function identities.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/ijmms/

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