Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions

摘要

New reduction formulas are derived for the Kampé de Fériet functions Fq:1;0p:2;1 and F1:2;11:1;0 which are closely connected with representations for incomplete Lipschitz-Hankel type integrals of cylindrical functions. Some general series identities and related reduction formulas, relevant to the present investigation, are also considered.