Abstract:
The main aim of this paper is to establish a theorem which asserts an
interesting relationship between the multidimensional Laplace transform, the
multidimensional Varma transform and the generalized Weyl fractional
integral involving product of a general class of multivariable polynomials and
a generalized polynomial set. By specializing the various parameters involved,
this general theorem would readily yield several (known and new) results
involving simpler integral operators. Further, the theorem is applied to
evaluate the generalized Weyl fractional integrals of Fox’s H-function and the
(Srivastava – Panda) H-function of several complex variables