New Generalized Hypergeometric Functions

Year 2022, Volume: 4 Issue: 2, 21 - 31, 31.12.2022

Salım Rabı'u Kabara

https://doi.org/10.54286/ikjm.1100753

Abstract

The classical Gauss hypergeometric function and the Kumar confluent hypergeometric function are defined using a classical Pochammer symbol , and a factorial function. This research paper will present a two-parameter Pochhammer symbol, and discuss some of its properties such as recursive formulae and integral representation. In addition, the generalized Gauss and Kumar confluent hypergeometric functions are defined using a two-parameter Pochhammer symbol and two-parameter factorial function and some of the properties of the new generalized hypergeometric functions were also discussed.

Keywords

Classical factorial function, Classical Pochhammer symbol, Gauss and confluent hypergeometric functions, Two parameters factorial function and Two parameters Pochhammer symbol.

Supporting Institution

NIL

Project Number

NIL

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