Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials

DOI10.1016/0377-0427(90)90359-8zbMath0688.33008OpenAlexW2037380119WikidataQ115363279 ScholiaQ115363279MaRDI QIDQ1263713

S. Belmehdi, J. Dini, Pascal Maroni, André Ronveaux

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90359-8

zbMATH Keywords

Laguerre-Hahn class

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (17)

Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros ⋮ On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ On the associated orthogonal polynomials ⋮ Difference equation for associated polynomials on a linear lattice ⋮ Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ On co-polynomials and \(d\)-orthogonality ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation ⋮ Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ Accelerated Landweber methods based on co-dilated orthogonal polynomials ⋮ Common points between perturbed Chebyshev polynomials of second kind ⋮ Orthogonal polynomials---centroid of their zeroes ⋮ On orthogonal polynomials with perturbed recurrence relations ⋮ On differential equations for orthogonal polynomials on the unit circle ⋮ Second-order differential equations in the Laguerre-Hahn class

Cites Work

• The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
• Co-recursive orthogonal polynomials and fourth-order differential equation
• On Co-Recursive Orthogonal Polynomials
• Associated Laguerre and Hermite polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• Fourth-order differential equations for numerator polynomials
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