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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 2, Pages 97–118
DOI: https://doi.org/10.15393/j3.art.2020.7290 (Mi pa299) 		 
Recurrence relations for Sobolev orthogonal polynomials

M. S. Sultanakhmedov

Dagestan Federal Research Center of RAS, 45, M. Gadzhieva st., Makhachkala, 367000, Russia
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DOI: https://doi.org/10.15393/j3.art.2020.7290
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.
Received: 26.11.2019
Revised: 19.04.2020
Accepted: 02.05.2020
Bibliographic databases:
Document Type: Article
UDC: 517.587
MSC: 12E10, 26C05, 65Q30
Language: English
Citation: M. S. Sultanakhmedov, “Recurrence relations for Sobolev orthogonal polynomials”, Probl. Anal. Issues Anal., 9(27):2 (2020), 97–118
Citation in format AMSBIB
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\by M.~S.~Sultanakhmedov
\paper Recurrence relations for Sobolev orthogonal polynomials
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 2
\pages 97--118
\mathnet{http://mi.mathnet.ru/pa299}
\crossref{https://doi.org/10.15393/j3.art.2020.7290}
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\elib{https://elibrary.ru/item.asp?id=45461943}
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