Sergei A. Shlapakov,1Megumi Saigo,2and Anatoly A. Kilbas3
Received01 Dec 1995
Revised25 Sept 1997
Abstract
The paper is devoted to study the inversion of the integral transform
(Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|]f(t)dt
involving the H-function as the kernel in the space 𝔏v,r of functions f such that
∫0∞|tυf(t)|rdtt<∞(1<r<∞,ν∈ℝ).