The Multivariable Voigt Functions and their representations

Abstract

In the present paper it will be shown that generalized Voigt function is expressible in terms of a combination of Kampé de Fériet's functions. We also give further generalizations (involving multivariables) of Voigt functions in terms of series and integrals which are specially useful when the parameters take on special values. The results of multivariable Hermite polynomials are used with a view to obtaining explicit representations of generalized Voigt functions.