Integrals of Legendre polynomials and approximations
Abdelhamid Rehouma

TL;DR
This paper explores identities, relations, extremal problems, and Fourier expansions involving integrals of Legendre polynomials, advancing mathematical understanding of their properties.
Contribution
It introduces new identities and extremal problems related to integral Legendre polynomials, expanding theoretical knowledge.
Findings
Derived new identities and relations for integral Legendre polynomials
Formulated extremal problems and minimization strategies
Developed Fourier development techniques for these polynomials
Abstract
We derive some identities and relations and extremal problems and minimization and Fourier development involving of integral Legendre polynomials.
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