Convolution shift, \(c\)-orthogonality preserving maps, and the Laguerre polynomials

DOI10.1016/0022-247X(91)90150-XzbMath0741.42014MaRDI QIDQ1177032

William R. Allaway

Publication date: 25 June 1992

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

zbMATH Keywords

\(c\)-convolution\(c\)-orthogonal polynomial sequences\(c\)-orthogonality preservingLaguerre orthogonal polynomial

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 transformations of harmonic type (42C20)

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• The umbral calculus
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Orthogonality Preserving Maps and the Laguerre Functional
• Convolution Orthogonality and the Jacobi Polynominals
• Generating Functions for Bessel and Related Polynomials

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