Representations for incomplete integrals of cylindrical functions (Q2639208)

The author considers indefinite integrals with integrands which are products of exponentials (or circular functions), powers and cylindrical functions \((J_{\nu}(z),Y_{\nu}(z),I_{\nu}(z),K_{\nu}(z)\), etc.). These ``occur widely in pure and applied mathematics''. This paper is one of a series by the author which evaluates these integrals in terms of Kampé de Fériet double hypergeometric functions.