Incomplete Lipschitz-Hankel integrals of anger and weber functions

Representations in terms of Kampe de Feriet functions are derived for certain generalized hypergeometric integrals. These are then used to obtain representations for incomplete Lipschitz-Hankel and related integrals of Anger and Weber functions. Reduction formulas for the associated Kampe de Feriet functions may then be employed to reduce special cases of the resulting Lipschitz-Hankel integrals to simpler generalized hypergeometric functions. In addition, four new reduction formulas for the Kampe de Feriet functions associated with incomplete Lipschitz-Hankel integrals of Anger-Weber functions are given.