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Finite Laplace transform representation for a Fox H-function kernel
Finite Laplace transform question. Can the finite Laplace transform of this function be expressed in terms of the Fox H-function?
Problemopenfox-h-function laplace-transforms special-functionsarXiv posted 2 days ago
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Conjecture on the representing measure for the gamma ratio when $\mu=0$
Representing-measure conjecture. When $\mu=0$ , the representing measure of $W(x)$ is…
Conjectureopencompletely-monotonic-functions fox-h-function special-functionsarXiv posted 2 days ago
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Zero-count conjecture for Fox's H-function
Zero-count conjecture. The number of zeros of
Conjectureopencompletely-monotone-functions fox-h-function special-functionsarXiv posted 2 days ago
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Boundary-measure conjecture for Fox's H-function
Let $W(x)=\dfrac{\prod_{i=1}^{p}\Gamma(A_i x+a_i)}{\prod_{j=1}^{q}\Gamma(B_j x+b_j)}$ , let $\rho$ be the endpoint appearing in its Fox $H$ -function representation, and let $\mu=0$ .…
Conjectureopenfox-h-function infinitely-divisible-functions special-functionsarXiv posted 2 days ago

Finite Laplace transform representation for a Fox H-function kernel