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)log (x)dx.
No takes yet. Share an insight, caveat, or question.
Sebastian Schmutzhard-Höfler (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: