Orthogonal polynomials with respect to a differential operator. Existence and uniqueness

DOI10.1216/rmjm/1030539681zbMath1029.42018OpenAlexW2071743027MaRDI QIDQ1415030

Guillermo López Lagomasino, Alexander I. Aptekarev, Francisco Marcellán

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

Sobolev orthogonal polynomialsChebyshev systemslinear differential operatorsHermite-Padé 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) Other special orthogonal polynomials and functions (33C47)

Related Items (5)

On polar Legendre polynomials ⋮ On orthogonal polynomials with respect to a class of differential operators ⋮ Orthogonality with respect to a Jacobi differential operator and applications ⋮ Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation ⋮ Differential orthogonality: Laguerre and Hermite cases with applications

Cites Work

• Asymptotics of diagonal Hermite-Padé polynomials
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Orthogonal polynomial matrices on the unit circle
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