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

Jian Cao; Sama Arjika; M. P. Chaudhary

doi:https://doi.org/10.56827/JRSMMS.2022.1001.3

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 1 Pages 31-38 December 30, 2022 348 downloads

Article overview

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 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 (2022). A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 31-38.

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