3 papers
math.CA1998
Integral transforms with H-function kernels on $\LLL_{ν,r}$-Spaces
Hans-Jürgen Glaeske, Anatoly A. Kilbas, Megumi Saigo +1
Integral transforms $$(\mbox{\boldmath}f)(x)=\int^\infty_0H^{m,n}_{\thinspace p,q} \left[xt\left|\begin{array}{c}(a_i,α_i)_{1,p}\\[1mm](b_j,β_j)_{1,q} \end{array}\right.\right]f…
math.CA1998
On inversion of H-Transform in $\eufb114_{ν,r}$-space
Sergei A. Shlapakov, Megumi Saigo, Anatoly A. Kilbas
The paper is devoted to study the inversion of the integral transform $$(\mbox{\boldmath}f)(x)=\int^\infty_0H^{m,n}_{\thinspace p,q} \left[xt\left|\begin{array}{c}(a_i,α_i)_{1,p…
math.CA1998
On the h-function
Anatoly A. Kilbas, Megumi Saigo
The paper is devoted to study the -function defined by the Mellin-Barnes integral $$H^{m,n}_{\thinspace p,q}(z)={\frac1{2πi}}\int_{\Lss} \HHs^{m,n}_{\thinspace p,q}(s)z^{-s}ds,$…