Open Access

Difference equations on discrete polynomial hypergroups

Advances in Difference Equations20062006:051427

DOI: 10.1155/ADE/2006/51427

Received: 10 July 2005

Accepted: 30 October 2005

Published: 21 February 2006

Abstract

The classical theory of homogeneous and inhomogeneous linear difference equations with constant coefficients on the set of integers or nonnegative integers provides effective solution methods for a wide class of problems arising from different fields of applications. However, linear difference equations with nonconstant coefficients present another important class of difference equations with much less highly developed methods and theories. In this work we present a new approach to this theory via polynomial hypergroups. It turns out that a major part of the classical theory can be converted into hypergroup language and technique, providing effective solution methods for a wide class of linear difference equations with nonconstant coefficients.

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Authors’ Affiliations

(1)
Institute of Mathematics and Informatics, University of Debrecen

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Copyright

© Ágota Orosz. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.