CERTAIN ROGERS-RAMANUJAN TYPE MULTI SUM IDENTITIES AND RATIO OF INFINITE PRODUCTS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 205

Volume : 15 , Issue : 2
DOI:
Author :
Akash Kumar Shrivastav (Department of Mathematics, RIMT University, Mandi Gobindgarh Fatehgarh Sahib, Punjab, INDIA)
Neera A. Herbert (Department of Mathematics and Statistics, SHUATS, Prayagraj, INDIA)
Harwinder Kaur (Department of Mathematics, RIMT University, Mandi Gobindgarh Fatehgarh Sahib, Punjab, INDIA)

Abstract

Some Rogers-Ramanujan type multi sum identities can be expressed in terms of infinite products. In this paper, an attempt has been made to establish the certain results involving the multi summation expressions and ratio of infinite products by using well known m dissections of the power series.

Keywords and Phrases

Ratio’s of infinite products, Bailey pair’s, Bailey lemma, Rogers-Ramanujan type multi sum identities.

A.M.S. subject classification

Primary 05A30, 05A10; Secondary 33D90, 33D15, 11P82.

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