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Some of the next articles are maybe not open access.

Asymptotic Behaviour for Wall Polynomials and the Addition Formula for Little q-Legendre Polynomials

SIAM Journal on Mathematical Analysis, 1991
Walter Van Assche, Tom H Koornwinder
exaly  

Integral of Legendre polynomials and its properties [PDF]

open access: yesMathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
doaj   +3 more sources

An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
This study addresses the inverse issue of identifying the space-dependent heat source of the heat equation, which is stated using the optimal con-trol framework.
T. Shojaeizadeh, M. Darehmiraki
doaj   +3 more sources

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations [PDF]

open access: yesCommunications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +2 more sources

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