An elementary representation of the higher-order Jacobi-type differential equation

DOI10.1016/j.indag.2017.06.015zbMath1441.34023arXiv1704.07081OpenAlexW2609736145WikidataQ115351961 ScholiaQ115351961MaRDI QIDQ2406384

Clemens Markett

Publication date: 27 September 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07081

zbMATH Keywords

orthogonal polynomialsfactorizationhigher-order linear differential equationsJacobi-type equationsJacobi-type polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30)

Related Items (5)

The higher-order differential operator for the generalized Jacobi polynomials -- new representation and symmetry ⋮ The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions ⋮ On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions ⋮ Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type ⋮ On the differential equation for the Laguerre-Sobolev polynomials

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