A survey on Christoffel-Darboux type identities of Legendre, Laguerre and Hermite polynomials

DOI10.1007/s40096-015-0167-4zbMath1405.33023OpenAlexW1899914522WikidataQ59431837 ScholiaQ59431837MaRDI QIDQ1992136

Asghar Arzhang

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-015-0167-4

zbMATH Keywords

Hermite polynomialsLaguerre polynomialsCauchy kernelLegendre polynomialsChristoffel-Darboux identity

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• On the coefficients of differentiated expansions of ultraspherical polynomials
• A survey on Christoffel–Darboux-type identities of Chebyshev polynomials
• On the connection coefficients and recurrence relations arising from expansions in series of Laguerre polynomials

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