Connection coefficients for Laguerre--Sobolev orthogonal polynomials.

DOI10.1016/S0022-247X(03)00263-4zbMath1033.42027MaRDI QIDQ1405297

Jorge Sánchez-Ruiz, Francisco Marcellán

Publication date: 25 August 2003

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

zbMATH Keywords

orthogonal polynomialsconnection coefficientsSobolev inner products

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)

Related Items (3)

Exact and simple formulas for the linearization coefficients of products of orthogonal polynomials and physical application ⋮ Some remarks on a paper by L. Carlitz ⋮ Differential equations for discrete Laguerre-Sobolev orthogonal polynomials

Cites Work

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• A Generalization of Laguerre Polynomials
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• Weierstrass' theorem in weighted Sobolev spaces
• Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments
• Connection coefficients and zeros of orthogonal polynomials
• Some connection and linearization problems for polynomials in and beyond the Askey scheme

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