This article is cited in 1 paper

Recurrence relations for Sobolev orthogonal polynomials

M. S. Sultanakhmedov

Dagestan Federal Research Center of RAS, 45, M. Gadzhieva st., Makhachkala, 367000, Russia

Abstract: We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and the second kind, Gegenbauer (ultraspherical) polynomials, Hermite polynomials.

Keywords: Sobolev orthogonal polynomials, recurrence relations, Jacobi polynomials, Legendre polynomials, Chebyshev polynomials, ultraspherical polynomials, Gegenbauer polynomials, Hermite polynomials, Laguerre polynomials, special polynomials.

UDC: 517.587

MSC: 12E10, 26C05, 65Q30

Received: 26.11.2019
Revised: 19.04.2020
Accepted: 02.05.2020

Language: English

DOI: 10.15393/j3.art.2020.7290

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