Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all times $Exp(-a{x}^2)$ and divided by powers

Abstract

Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by $Exp(-a{x}^2)$ and divided by powers. A series solution is given for the individual terms (of any inverse power) in such functions, split into even and odd portions. Eight integrals are given involving these series.

arXiv comment22 pages