References & Citations
Mathematics > Classical Analysis and ODEs
Title: A simple derivation of the integrals of products of Legendre polynomials with logarithmic weight
(Submitted on 17 Apr 2024)
Abstract: We explore integrals of products of Legendre polynomials with a logarithmic weight function. More precisely, for Legendre polynomials $P_m$ and $P_n$ of orders $m$ and $n$, respectively, we provide simple derivations of the integrals $$\int \limits_0^1 P_n(2x-1) P_m(2x-1)\log (x)dx.$$
Submission history
From: Sebastian Schmutzhard-Höfler [view email][v1] Wed, 17 Apr 2024 08:42:42 GMT (5kb)
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