Abstract
The main object of this paper is to present a family of q-series identities which involve some of the theta functions of Jacobi and Ramanujan. Each of these (presumably new) q-series identities reveals interesting relationships among three of the theta-type functions which stem from the celebrated Jacobi’s triple-product identity in a remarkably simple way. The q-results presented in this paper are motivated essentially by recent works of Chaudhary et al. (see [4, 5]) and of other authors (see, for example, [1, 13]).
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Funding
The third-named author (Sangeeta Chaudhary) is thankful to the National Board of Higher Mathematics (NBHM) under the Department of Atomic Energy (DAE) of the Government of India for providing financial support by a warding her a Post-Doctoral Fellowship (Grant Numbers: 2/40(47)/2015/RandD-II/8417 dated 22 June 2017) while carrying out this research work.
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Srivastava, H.M., Chaudhary, M.P. & Chaudhary, S. A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity. Russ. J. Math. Phys. 27, 139–144 (2020). https://doi.org/10.1134/S1061920820010148
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DOI: https://doi.org/10.1134/S1061920820010148