Compositions of Saigo fractional integral operators with generalized Voigt function

Deepa H. Nair and M. A. Pathan

Abstract

The principal object of this paper is to provide
the composition of Saigo fractional integral operators with
different forms of Voigt functions. An alternative explicit
representation of the generalized Voigt function in terms of
Laplace integral transform is shown and the relations between the
left-sided and the right-sided Saigo fractional integral operators
are established with the $_1F_1$-transform and the Whittaker
transform, respectively. Many interesting results are deduced in
terms of some relatively more familiar hypergeometric functions in
one and two variables.