New explicitly diagonalizable Hankel matrices related to the Stieltjes-Carlitz polynomials

DOI10.1007/s00020-021-02638-4zbMath1486.47060arXiv1911.08218OpenAlexW3165669911MaRDI QIDQ2039325

František Štampach, Pavel Šťovíček

Publication date: 2 July 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08218

zbMATH Keywords

Hankel matrixcommutator methodJacobi matrixStieltjes-Carlitz polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Uses Software

• DLMF

Cites Work

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• Uniform asymptotic expansions for hypergeometric functions with large parameters IV
• On the Hilbert Matrix, II
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Fourier Series Coefficients for Powers of the Jacobian Elliptic Functions
• On the Spectrum of Hilbert's Matrix
• Complex Jacobi matrices
• Some orthogonal polynomials related to elliptic functions

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