Orthogonal Polynomials Associated with a Δ-Sobolev Inner Product

DOI10.1080/10236190211947zbMath0997.39007OpenAlexW2107596034MaRDI QIDQ4530160

Miguel A. Piñar, Teresa E. Pérez, María Álvarez de Morales

Publication date: 18 November 2002

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190211947

zbMATH Keywords

difference operatorsregular linear functionalsclassical discrete orthogonal polynomials\(\Delta\)-semiclassical discrete functional\(\Delta\)-Sobolev inner product\(\Delta\)-Sobolev orthogonality

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) 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) Discrete version of topics in analysis (39A12)

Related Items (2)

On the Krall-type discrete polynomials ⋮ Some remarks on a paper by L. Carlitz

Cites Work

• Sobolev orthogonal polynomials and second-order differential equations
• Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\)
• A distributional study of discrete classical orthogonal polynomials
• General Sobolev orthogonal polynomials
• On Sobolev orthogonality for the generalized Laguerre polynomials
• Inner products involving differences: the meixner—sobolev polynomials
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