A new convolution identity deducible from the remarkable formula of Ramanujana new convolution identity deducible from the remarkable formula of Ramanujan

Bhargava, S. and Somashekara, D. D. and Mamta, D. (2007) A new convolution identity deducible from the remarkable formula of Ramanujana new convolution identity deducible from the remarkable formula of Ramanujan. Taiwanese J. Math., 11 (2). pp. 399-406. ISSN 2224-6851

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Abstract

In this paper we obtain a convolution identity for the coefficients Bn(α,θ,q) defined by ∑n=−∞∞Bn(α,θ,q)xn=∏n=1∞(1+2xqncosθ+x2q2n)∏n=1∞(1+αqnxeiθ), using the well-known Ramanujan’s 1ψ1-summation formula. The work presented here complements the works of K.-W. Yang, S. Bhargava, C. Adiga and D. D. Somashekara and of H. M. Srivastava.

Item Type:	Article
Subjects:	E Mathematical Science > Mathematics
Divisions:	Department of > Mathematics
Depositing User:	C Swapna Library Assistant
Date Deposited:	16 Sep 2019 09:43
Last Modified:	16 Sep 2019 09:43
URI:	http://eprints.uni-mysore.ac.in/id/eprint/8167

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