Factorization method for difference equations of hypergeometric type 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.

21 pages

References in corpus (5)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
• The q-harmonic oscillator and the Al-Salam and Carlitz polynomials
• The factorization of the hypergeometric equation
• Raising and lowering operators, factorization and differential/difference operators of hypergeometric type
• Discrete Darboux transformation for discrete polynomials of hypergeometric type

Cited by in corpus (4)

• Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
• Factorization method for second order functional equations
• Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice
• Factorization method on time scales