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A note on a generalisation of a definite integral involving the Bessel function of the first kind (2205.03161v1)
Published 6 May 2022 in math.CA
Abstract: 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.