A Note on Integrals Containing the Univariate Lommel Function

preprint2022arXivOpen access

Abstract

This short note investigates a number of index integrals of products of the Lommel functions sμ,ν(a)s_{μ,ν}(a) and uncovers an integral relationship. between this function and the Tchebyshev polynomials T2n(x)T_{2n}(x).

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