Generalizations of an integral for Legendre polynomials by Persson and Strang

DOI10.1016/J.JMAA.2011.12.001zbMath1237.33005arXiv1005.2285OpenAlexW2145031382MaRDI QIDQ662054

Enno Diekema, Koornwinder, Tom H.

Publication date: 11 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2285

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsGegenbauer polynomialsHahn polynomialsChristoffel-Darboux formulaevaluation of definite integrals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Differentiation by integration using orthogonal polynomials, a survey

Cites Work

• The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. I
• Some integrals containing products of Legendre polynomials
• A Generalization of Moak's q-Laguerre Polynomials
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