On a new transformation formula for bilateral 6ψ6 series and applications

Somashekara, D. D. and Narasimha Murthy, K. (2017) On a new transformation formula for bilateral 6ψ6 series and applications. The Ramanujan Journal, 42 (1). pp. 1-13. ISSN 1572-9303

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Official URL: https://doi.org/10.1007/s11139-016-9846-5

Abstract

In this paper, we derive a new transformation formula for bilateral 6ψ6 series using Roger’s 6ϕ5 summation and then use it to deduce the well-known Bailey’s 6ψ6 summation formula. Also, we deduce some identities involving theta functions and new identities analogous to identities of Ramanujan. Further, we give formulas for finding the number of representations of an integer as sums of squares and sums of triangular numbers.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: C Swapna Library Assistant
Date Deposited: 27 Jun 2019 05:50
Last Modified: 27 Jun 2019 05:50
URI: http://eprints.uni-mysore.ac.in/id/eprint/3919

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