ON UNIFIED PRESENTATIONS OF THE MULTIVARIABLE VOIGT FUNCTIONS

Abstract

Voigt functions and their various generalizations have been studied

by H.M. Srivastava and several others through a series of papers. Re-

cently Pathan et al. [10] have given a unified multivariable presentation

of the Voigt functions. In the present paper we give a generalization and

unification of these results and study certain topics not covered therein.

We first give a multivariable presentation of generalized Voigt functions

involving a product of Fox-Wright generalized hypergeometric functions

and then obtain its explicit representations. Next we derive a new spe-

cial case involving the products of generalized Bessel functions J (x).

μ

Then, we obtain partly bilateral and partly unilateral representation of the generalized Voigt functions of several variables. Most of the results involving a single variable Voigt function obtained earlier follow as special cases of the results presented here.