Orthogonal polynomials and recurrence equations, operator equations and factorization
Classification / Keywords
Citation
In: Mathematische Schriften Kassel 05, 14 / (2005) , S. ;
Collections
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.
@article{urn:nbn:de:hebis:34-200604069128, author ={Koepf, Wolfram}, title ={Orthogonal polynomials and recurrence equations, operator equations and factorization}, copyright ={https://rightsstatements.org/page/InC/1.0/}, language ={en}, year ={2005} }