  We consider a generalisation of a definite integral involving the Bessel
function of the first kind. It is shown that this integral can be expressed in
terms of the Fox-Wright function ${}_p\Psi_q(z)$ of one variable. Some
consequences of this representation are explored by suitable choice of
parameters. In addition, two closed-form evaluations of infinite series of the
Fox-Wright function are deduced.

Classical Analysis and ODEs