ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 60

Abstract

The main purpose of this article is to prove two Rogers–Ramanujan–Slater type theta function identities related to $\varphi(q)$ and $\phi_{0}(q)$, which were earlier investigated by two legendary mathematicians of their time. The results presented in this paper are motivated essentially by recent works of Cao {\it et al.} (see [5]).

Keywords and Phrases

Theta function, Rogers-Ramanujan-Slater identity, Jacobi's triple-product identity.

A.M.S. subject classification

Primary 05A30, 11B65, 33D15, 33D45; Secondary 33D60, 39A13, 39B32.

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