Recurrence Relations for Polynomials Orthonormal on Sobolev, Generated by Laguerre Polynomials

DOI10.18500/1816-9791-2018-18-1-17-24zbMath1407.33014OpenAlexW2790687961MaRDI QIDQ3120400

R. M. Gadzhimirzaev

Publication date: 4 March 2019

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu741

zbMATH Keywords

Laguerre functionsLaguerre polynomialsSobolev-type inner productSobolev orthonormal polynomials

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) Sampling theory in information and communication theory (94A20)

Related Items (2)

On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials ⋮ RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Cites Work

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• Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
• Weighted Sobolev orthogonal polynomials on the unit ball
• On Sobolev orthogonal polynomials
• On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials
• Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
• Sobolev orthogonal polynomials on product domains
• Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh
• The Fourier Series of the Meixner Polynomials Orthogonal with Respect to the Sobolev-type Inner Product

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