Multiple orthogonal polynomials, 𝑑-orthogonal polynomials, production matrices, and branched continued fractions

DOI10.1090/BTRAN/133arXiv2204.11528OpenAlexW4394713681MaRDI QIDQ6127681

Alan D. Sokal

Publication date: 14 April 2024

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11528

zbMATH Keywords

production matrixŁukasiewicz pathmultiple orthogonal polynomialbranched continued fraction\(d\)-orthogonal polynomiallower-Hessenberg matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Matrix equations and identities (15A24) Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05) Continued fractions; complex-analytic aspects (30B70) Basic linear algebra (15A99) Special matrices (15B99)

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