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. Recently 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 special case involving the products of generalized Bessel functions Jμ ν,λ(x). 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.