Abstract
Incomplete Lipschitz-Hankel integrals are essentially indefinite integrals of products of Bessel or cylindrical functions, exponentials and powers. These integrals occur widely in pure and applied mathematics. The object of this paper is to give new representations for incomplete Lipschitz-Hankel integrals in terms of Kampé de Fériet double hypergeometric functions. Thus earlier work of the author is unified to include certain representations for integrals of cylindrical functions other than Macdonald functions. In addition, certain properties of the Kampé de Fériet functions associated with incomplete Lipschitz-Hankel integrals are given.
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