3 problems

Finite Laplace transform question. Can the finite Laplace transform of this function be expressed in terms of the Fox H-function?

Zero-count conjecture. The number of zeros of

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 $\mu=0$.…