Factorization method for difference equations of hypergeometric type on nonuniform lattices

TL;DR

This paper explores the factorization of hypergeometric-type difference equations on nonuniform lattices, deriving explicit raising and lowering operators and providing relevant examples to illustrate the method.

Contribution

It introduces a new factorization approach for difference equations of hypergeometric type on nonuniform lattices, including explicit operators and illustrative examples.

Findings

Derived explicit raising and lowering operators.

Provided examples demonstrating the factorization method.

Enhanced understanding of difference equations on nonuniform lattices.

Abstract

We study the factorization of the hypergeometric-type difference equation of Nikiforov and Uvarov on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.