Quantum Hilbert matrices and orthogonal polynomials

DOI10.1016/j.cam.2009.02.040zbMath1183.33034arXivmath/0703546OpenAlexW2120600831MaRDI QIDQ1035621

Jørgen Ellegaard Andersen, Christian Berg

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703546

zbMATH Keywords

Fibonacci numbersHilbert matrixquantum integersbasic orthogonal polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

About integer-valued variants of the theta and 6j symbols ⋮ \(q\)-derivative operator proof for a conjecture of Melham ⋮ Harmony of asymmetric variants of the Filbert and Lilbert matrices in \(q\)-form ⋮ Accurate bidiagonal factorization of quantum Hilbert matrices ⋮ Fibonacci numbers and orthogonal polynomials ⋮ A variant of the reciprocal super Catalan matrix ⋮ A nonlinear generalization of the Filbert matrix and its Lucas analogue ⋮ Nonlinear variants of the generalized Filbert and Lilbert matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fibonacci numbers and orthogonal polynomials
• Tricks or Treats with the Hilbert Matrix
• The Christoffel-Darboux Kernel
• XIX.—On the Reciprocation of Certain Matrices

This page was built for publication: Quantum Hilbert matrices and orthogonal polynomials