Tridiagonal matrices, orthogonal polynomials and Diophantine relations: I

DOI10.1088/1751-8113/40/32/006zbMath1185.15014OpenAlexW2025910504MaRDI QIDQ5757632

Mario Bruschi, Francesco Calogero, Riccardo Droghei

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/32/006

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Algebraic systems of matrices (15A30)

Related Items (8)

Additional recursion relations, factorizations, and diophantine properties associated with the polynomials of the Askey scheme ⋮ Diophantine properties of orthogonal polynomials and rational functions ⋮ Properties of the zeros of the polynomials belonging to the Askey scheme ⋮ Hypergeometric origins of Diophantine properties associated with the Askey scheme ⋮ Properties of the zeros of the polynomials belonging to the \(q\)-Askey scheme ⋮ Polynomials Defined by Three-Term Recursion Relations and Satisfying a Second Recursion Relation: Connection with Discrete Integrability, Remarkable (Often Diophantine) Factorizations ⋮ Properties of the zeros of generalized hypergeometric polynomials ⋮ Isochronous Dynamical System and Diophantine Relations I

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