STUDY ON $k$-GAUSS SECOND SUMMATION THEOREMS AND $k$-KUMMER'S TRANSFORMATION

Ekta Mittal; Sunil Joshi

Ekta Mittal Department of Mathematics, IIS Deemed to be University, Jaipur - 302020, INDIA

Sunil Joshi Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur - 303007, INDIA

Volume 16, Issue 3 Pages 97-104 December 30, 2020 284 downloads

Article overview

Abstract

The aim of the present investigation is to create some summation theorems like Gauss, Bailey, and Kummer in the form of $k$- hypergeometric function. Further, we develop a new class of Kummer’s differential equation of $k$-parameter and Kummer’s transformations formulae in terms $k$- confluent hypergeometric function.

Keywords and Phrases

$k$-Gamma function$k$-Beta function$k$-hypergeometric functions$k$-pochhammer symbols.

AMS Subject Classification

33E12, 44A10, 33B15.

Reference information

How to Cite

Ekta Mittal, Sunil Joshi (2020). STUDY ON $k$-GAUSS SECOND SUMMATION THEOREMS AND $k$-KUMMER'S TRANSFORMATION. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 97-104.

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