International Journal of Mathematics and Mathematical Sciences (Jan 1998)
On inversion of H-transform in 𝔏v,r-space
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).
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