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