ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY

Jian Cao; Sama Arjika; M. P. Chaudhary

doi:https://doi.org/10.56827/JRSMMS.2023.1002.2

Jian Cao School of Mathematics, Hangzhou Normal University, Hangzhou City 311121, Zhejiang Province, People s Republic of CHINA

Sama Arjika Department of Mathematics and Informatics, University of Agadez, Post Office Box: 199, Agadez, NIGER

M. P. Chaudhary International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences) New Delhi 110018, INDIA

Volume 10, Issue 2 Pages 29-36 June 30, 2023 206 downloads

Article overview

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 functionRogers-Ramanujan-Slater identityJacobi's triple-product identity.

AMS Subject Classification

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

Reference information

How to Cite

Jian Cao, Sama Arjika, M. P. Chaudhary (2023). ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(2), 29-36.

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