New Generalized Hypergeometric Functions

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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