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

Sunil Singh; Mohmmad Shahjade; Amit Kumar Singh

doi:https://doi.org/10.56827/SEAJMMS.2023.1903.8

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

Volume 19, Issue 3 Pages 81-86 December 30, 2023 170 downloads

Article overview

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 seriestransformation formulamock theta functionstruncated hypergeometric seriessummation formula.

AMS Subject Classification

30G35, 32A30, 30C15.

Reference information

How to Cite

Sunil Singh, Mohmmad Shahjade, Amit Kumar Singh (2023). CERTAIN RESULTS INVOLVING q-HYPERGEOMETRIC SERIES AND RAMANUJAN'S MOCK THETA FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 81-86.

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