Abstract
Reduction formulas and integral representations for Kampé de Fériet functions F p:2;1 q:1;0 which are associated with certain classes of incomplete integrals of Bessel or cylindrical functions (including, for example, incomplete Lipschitz—Hankel integrals) are obtained. In addition, more general series identities related to these Kampé de Fériet functions are derived and a new derivation of Lerch's theorem for the partial sums of the coefficients of a special case of Gauss's hypergeometric function is provided.
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