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arXiv · 2608.14751

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

Jack C. Straton
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Abstract

Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by $Exp(-ax^{2})$ 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.

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Jack C. Straton. 2026-08-14. Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all times $Exp(-ax^{2})$ and divided by powers. https://arxiv.org/abs/2608.14751

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