On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices

On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices

The main aim of this paper is the development of suitable bases that enable the direct series representation of orthogonal polynomial systems on nonuniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this type, the first of which allows one to write...

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Bibliographic Details
Main Authors: Salifou Mboutngam, Maurice Kenfack-Nangho, Mama Foupouagnigni, Wolfram Koepf
Format: Article
Language:English
Published: MDPI AG 2013-07-01
Series:Axioms
Subjects:
Askey-Wilson polynomials
nonuniform lattices
difference equations
divided-difference equations
Stieltjes function
Online Access:http://www.mdpi.com/2075-1680/2/3/404

Internet

http://www.mdpi.com/2075-1680/2/3/404

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