\textit{À la carte} recurrence relations for continuous and discrete hypergeometric functions

DOI10.1007/BF03322592zbMath1242.33010OpenAlexW2064809234MaRDI QIDQ435147

Renato Álvarez-Nodarse

Publication date: 11 July 2012

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322592

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Applications of hypergeometric functions (33C90) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• Recurrence relations for radial wavefunctions for theNth-dimensional oscillators and hydrogenlike atoms
• Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra
• Recurrence relations for discrete hypergeometric functions
• Computational Aspects of Three-Term Recurrence Relations

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