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

Akash Kumar Shrivastav; Neera A. Herbert; Harwinder Kaur

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

Volume 15, Issue 2 Pages 85-96 August 31, 2019 273 downloads

Article overview

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 productsBailey pair’sBailey lemmaRogers-Ramanujan type multi sum identities.

AMS Subject Classification

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

Reference information

How to Cite

Akash Kumar Shrivastav, Neera A. Herbert, Harwinder Kaur (2019). CERTAIN ROGERS-RAMANUJAN TYPE MULTI SUM IDENTITIES AND RATIO OF INFINITE PRODUCTS. South East Asian Journal of Mathematics and Mathematical Sciences, 15(2), 85-96.

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