Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity

Hari M. Srivastava, M. P. Chaudhary, Sangeeta Chaudhary

Abstract

The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi’s triple-product identity in a remarkably simple way. The results presented in this paper are motivated by some recent works by Chaudhary et al. (see [4] and [5]) and others (see, for example, [1] and [13]).

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