Rational interpolation to solutions of Riccati difference equations on elliptic lattices

DOI10.1016/j.cam.2009.02.047zbMath1174.42031OpenAlexW2083039727MaRDI QIDQ1035634

Alphonse P. Magnus

Publication date: 4 November 2009

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.2009.02.047

zbMATH Keywords

rational approximationorthogonal functionselliptic difference equationsRiccati difference equations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Difference operators (39A70)

Related Items

An operator approach to multipoint Padé approximations

Cites Work

• Classical orthogonal polynomials of a discrete variable on nonuniform lattices
• \(Q\)-classical orthogonal polynomials: A very classical approach
• Generalized orthogonality and continued fractions
• Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points
• Biorthogonal rational functions and the generalized eigenvalue problem
• Elliptic grids, rational functions, and the Padé interpolation
• Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials
• Dirichlet and Neumann problems for string equation, Poncelet problem and Pell-Abel equation
• Elliptic hypergeometric functions and Calogero-Sutherland-type models
• Essays on the theory of elliptic hypergeometric functions
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Theta hypergeometric integrals
• RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
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