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

Jian . Cao; Sama . Arjika; M. P. . Chaudhary

doi: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

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

Keywords: Theta function, Rogers–Ramanujan–Slater identity; Jacobi’s triple-product identity.

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 φ(q).