On Extended Transformation Formulae Associated to the  k-Hypergeometric Function


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Article type :

1

Author :

Nafis Ahmad

Volume :

2

Issue :

5

Abstract :

Abstract Recently the second order homogeneous k-hypergeometric differential equation and the definition of the function  as its solution at the origin have been presented. Motivated by the current research work in the study of k-hypergeometric functions, our aim is to establish certain extended transformation formulae related to the  k-hypergeometric function with the Euler's identity for  Gauss hypergeometric function as a special case.

Keyword :

Keywords: k-pochhammer symbol, k-hypergeometric functions, hypergeometric transformation.