On the properties of special functions on the linear-type lattices

DOI10.1016/j.jmaa.2013.03.058zbMath1309.33019arXiv1107.5898OpenAlexW2022357726MaRDI QIDQ2257214

Renato Álvarez-Nodarse, José Luis Cardoso

Publication date: 24 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5898

zbMATH Keywords

difference equationsrecurrence relations\(q\)-hypergeometric functions\(q\)-polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items

Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices ⋮ On the complex difference equation of hypergeometric type on non-uniform lattices ⋮ Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices

Cites Work

• The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions
• On classical orthogonal polynomials
• On characterizations of classical polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra
• Polynomial solutions of hypergeometric type difference equations and their classification
• Recurrence relations for discrete hypergeometric functions
• On the \(q\)-polynomials: A distributional study
• \(q\)-classical polynomials and the \(q\)-Askey and Nikiforov-Uvarov tableaus
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