On the study of unified representations of the generalized Voigt functions

In the present paper, we define a new representation for Voigt function involving the product of generalized Bessel function and Whittaker function. We first obtain its explicit representation and then we derive partly bilateral and partly unilateral representations for this function. Further, we establish some new and interesting generating functions involving various hypergeometric functions of one and more variables. Next, we give some summation formulae for this function. The results obtained for the generalized Voigt function defined by Srivastava et al. (1998) follow as special cases of our main findings.