A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 130
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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