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Title: Orthogonal polynomials and recurrence equations, operator equations and factorization
Authors: Koepf, Wolfram
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2005
Publisher: Universität Kassel, FB 17, Mathematik/Informatik
Series/Report no.: Mathematische Schriften Kassel05, 14
Abstract: This article surveys the classical orthogonal polynomial systems of the Hahn class, which are solutions of second-order differential, difference or q-difference equations. Orthogonal families satisfy three-term recurrence equations. Example applications of an algorithm to determine whether a three-term recurrence equation has solutions in the Hahn class - implemented in the computer algebra system Maple - are given. Modifications of these families, in particular associated orthogonal systems, satisfy fourth-order operator equations. A factorization of these equations leads to a solution basis.
URI: urn:nbn:de:hebis:34-200604069128
Appears in Collections:Mathematische Schriften Kassel

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