On the H-function

The paper is devoted to study the H-function defined by the Mellin-Barnes integral H p,q (z) = 1 2πi ∫ L H m,n p,q (s)z ds, where the function H p,q (s) is a certain ratio of products of Gamma functions with the argument s and the contour L is specially chosen. The conditions for the existence of Hm,n p,q (z) are discussed and explicit power and power… (More)