Displaying similar documents to “On Some Applications Related To Fox's H-Functions Of Two Variables”

Properties of k-beta function with several variables

Abdur Rehman, Shahid Mubeen, Rabia Safdar, Naeem Sadiq (2015)

Open Mathematics

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In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.

Successive derivatives and finite expansions involving the H-function of one and more variables

C. M. Joshi, N. L. Joshi (1997)

Annales Polonici Mathematici

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Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.