Second structure relation for semiclassical orthogonal polynomials

DOI10.1016/j.cam.2006.01.007zbMath1125.33008OpenAlexW2086858927MaRDI QIDQ869494

Francisco Marcellán, Ridha Sfaxi

Publication date: 8 March 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.007

zbMATH Keywords

orthogonal polynomialsrecurrence relationssemiclassical linear functionalsfinite-type relation

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 (11)

A matrix approach for the semiclassical and coherent orthogonal polynomials ⋮ Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau ⋮ On the semi-classical character of orthogonal polynomials satisfying structure relations ⋮ The semiclassical Sobolev orthogonal polynomials: a general approach ⋮ Structure relations for orthogonal polynomials on the unit circle ⋮ On the singular lowering operator \(\mathbf{D}_u\) and application to the singular Laguerre-Hahn polynomial sequence with class zero of Hermite type ⋮ On the Laguerre-Hahn intertwining operator and application to connection formulas ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Structure relations for monic orthogonal polynomials in two discrete variables ⋮ Lowering operators associated with D-Laguerre–Hahn polynomials ⋮ Unnamed Item

Cites Work

• Orthogonal polynomials and their derivatives. I
• Classical orthogonal polynomials: A functional approach
• Diagonal orthogonal polynomial sequences
• Semi-classical character and finite-type relations between polynomial sequences
• A note on semi-classical orthogonal polynomials
• Orthogonal Polynomials and Their Derivatives, II
• ON A CHARACTERIZATION OF MEIXNER'S POLYNOMIALS
• Another Characterization of the Classical Orthogonal Polynomials
• Unnamed Item
• Unnamed Item

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