April 17, 2024Open Access

A simple derivation of the integrals of products of Legendre polynomials with logarithmic weight

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Abstract

We explore integrals of products of Legendre polynomials with a logarithmic weight function. More precisely, for Legendre polynomials Pₘ and Pₙ of orders m and n, respectively, we provide simple derivations of the integrals ₀¹ Pₙ (2x-1) Pₘ (2x-1) (x) dx.

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Sebastian Schmutzhard-Höfler (Wed,) studied this question.

synapsesocial.com/papers/68e6ecccb6db643587667e71 https://doi.org/https://doi.org/10.48550/arxiv.2404.11173

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