Diophantine equations for classical continuous orthogonal polynomials

DOI10.1016/S0019-3577(03)90010-3zbMath1055.33012MaRDI QIDQ1433051

Robert F. Tichy, Thomas Stoll

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Diophantine equations (11D99)

Related Items (4)

Diophantine equations in separated variables ⋮ Decomposition of a recursive family of polynomials ⋮ Complete decomposition of Dickson-type polynomials and related Diophantine equations ⋮ Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials

Uses Software

• retode

Cites Work

• Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm- Liouvillesche Differentialgleichungen
• Recurrence equations and their classical orthogonal polynomial solutions
• Diophantine Equations for Second-Order Recursive Sequences of Polynomials
• The Diophantine equation f(x) = g(y)
• Octahedrons with equally many lattice points
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