Factorization of the hypergeometric-type difference equation on the uniform lattice

zbMath1176.33008arXiv1003.4784MaRDI QIDQ836694

Roberto S. Costas-Santos, Natig M. Atakishiyev, Renato Álvarez-Nodarse

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4784

zbMATH Keywords

factorization methoddiscrete polynomialsdiscrete oscillators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference equations, scaling ((q)-differences) (39A13) Applications of hypergeometric functions (33C90)

Related Items (4)

The \(q\)-Racah-Krall-type polynomials ⋮ \textit{À la carte} recurrence relations for continuous and discrete hypergeometric functions ⋮ New classes of second order difference equations solvable by factorization method ⋮ Trends in Supersymmetric Quantum Mechanics

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