New Generalized Hypergeometric Functions

Authors : Salım Rabı\`u KABARA

Pages : 21-31

Doi:10.54286/ikjm.1100753

View : 11 | Download : 7

Publication Date : 2022-12-31

Article Type : Research Paper

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