Abstract :
Motivated by a desire to express in closed form a certain potential occurring in
the study of diffraction of a plane electromagnetic wave by a wedge, Miller and
Exton developed computable expressions for a large class of Sonine-Gegenbauer
type integrals. In the present paper one of these integrals, given previously in terms
of generalized hypergeometric functions in three variables, is now obtained in
terms of hypergeometric functions in two variables, thereby much reducing the
complexity of the representation. In the course of this investigation certain identities
involving Srivastava’s F 3.-function, Kamp´e de F´eriet functions, and Wright
functions are deduced. In addition, evaluations of integrals of Bessel functions
related to the above analysis are provided
