General recurrence and ladder relations of hypergeometric-type functions

DOI10.1016/j.cam.2006.10.012zbMath1124.33017OpenAlexW1963856896WikidataQ58363265 ScholiaQ58363265MaRDI QIDQ2643085

A. Zarzo, Rafael Yáñez, Jesús S. Dehesera

Publication date: 23 August 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.012

zbMATH Keywords

sum rulessecond-order differential equationsspecial functionsladder operatorshypergeometric-type functions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Hypergeometric functions (33C99)

Related Items (2)

Bivariate second-order linear partial differential equations and orthogonal polynomial solutions ⋮ Fisher information of special functions and second-order differential equations

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• On recurrence relations for radial wave functions for the \(N\)-th dimensional oscillators and hydrogenlike atoms: analytical and numerical study
• Correspondence principle for the quantized annulus, Romanovski polynomials, and Morse potential
• Classical orthogonal polynomials: A functional approach
• Nonlinear characterizations for functions of hypergeometric type and their derivatives of any order
• The three-term recurrence relation and the differentiation formulas for hypergeometric-type functions
• Sums of Functions Satisfying Recursion Relations
• Eine Klasse isotroper Turbulenzfelder mit Permanenzeigenschaft und existenten Tripelkorrelationen
• Recurrence relations for radial wavefunctions for theNth-dimensional oscillators and hydrogenlike atoms
• Some Orthogonal Polynomials Representing the Energy Spectral Functions for a Family of Isotropic Turbulence Fields
• The Factorization Method
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