CERTAIN RESULTS INVOLVING q-HYPERGEOMETRIC SERIES AND RAMANUJAN'S MOCK THETA FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 42

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.8
Author :
Sunil Singh (Department of Mathematics, Dr. Homi Bhabha State University, The Institute of Science, Mumbai - 32, INDIA)
Mohmmad Shahjade (Department of Mathematics, MANUU Poly. 8th Cross, 1st Stage, 3rd Block, Nagarbhavi, Banglore - 72 INDIA)
Amit Kumar Singh (Department of Mathematics, Thakur Mativar Singh PG College, Jamalapur, Jaunpur, Uttar Pradesh, INDIA)

Abstract

In this paper certain transformation formulas for q-hypergeometric series have been established. In another section of this paper, results involving mock theta functions have also been established.

Keywords and Phrases

q-hypergeometric series, transformation formula, mock theta functions, truncated hypergeometric series, summation formula.

A.M.S. subject classification

30G35, 32A30, 30C15.

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