Multiple Meixner-Pollaczek polynomials and the six-vertex model

DOI10.1016/j.jat.2011.06.003zbMath1227.82013arXiv1101.2982OpenAlexW1989913845MaRDI QIDQ643343

Steven Delvaux, Arno B. J. Kuijlaars, Martin H. Bender

Publication date: 28 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2982

zbMATH Keywords

potential theoryrecurrence relationblock Toeplitz matrixsix-vertex modelMeixner-Pollaczek polynomialmultiple orthogonal polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Approximation by polynomials (41A10)

Related Items

Strong asymptotics for the Pollaczek multiple orthogonal polynomials, High-order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets, Zeros and ratio asymptotics for matrix orthogonal polynomials, Average characteristic polynomials of determinantal point processes, A family of Nikishin systems with periodic recurrence coefficients, Equilibrium problem for the eigenvalues of banded block Toeplitz matrices

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