A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 109

Volume : 10 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.3
Author :
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)

Abstract

In this paper, we research theta function identity involving Rogers--Ramanujan identity and establish a Rogers--Ramanujan--Slater type theta function identity related to $G(q)$ and $\varphi(q).$

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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