Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations

DOI10.1007/s40840-016-0305-7zbMath1469.65172OpenAlexW2278769953MaRDI QIDQ1695611

Amílcar Branquinho, Ana Foulquié Moreno, Eduardo Paciência Godoy, IvÁn Area

Publication date: 7 February 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0305-7

zbMATH Keywords

orthogonal polynomials\(q\)-difference equationsrecurrence relations\(q\)-Toda equations\(q\)-Volterra equationsLax type theorems

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Applications of operator theory to differential and integral equations (47N20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Numerical aspects of recurrence relations (65Q30) Numerical methods for functional equations (65Q20) Numerical methods for difference equations (65Q10)

Related Items (2)

Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation

Cites Work

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