New representation and factorizations of the higher-order ultraspherical-type differential equations

DOI10.1016/J.JMAA.2014.07.001zbMath1303.33023OpenAlexW2140606481MaRDI QIDQ401351

Clemens Markett

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.001

zbMATH Keywords

orthogonal polynomialsspecial functionshigher-order linear ordinary differential equationsoperator factorizationultraspherical-type equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other functions coming from differential, difference and integral equations (33E30)

Related Items (3)

The higher-order differential operator for the generalized Jacobi polynomials -- new representation and symmetry ⋮ An elementary representation of the higher-order Jacobi-type differential equation ⋮ On self-adjoint operators generated by the fourth-order Laguerre type differential expression

Cites Work

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