Wronskian Appell polynomials and symmetric functions

DOI10.1016/j.aam.2019.101932zbMath1428.05025arXiv1812.01864OpenAlexW3098298416WikidataQ127390314 ScholiaQ127390314MaRDI QIDQ2334519

Niels Bonneux, John R. Stembridge, Marco Stevens, Zachary Hamaker

Publication date: 7 November 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01864

zbMATH Keywords

Schur functionsPlancherel measuresymmetric functionsAppell polynomialsWronskiansexceptional orthogonal polynomialsrational solutions of Painlevé equations

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) 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) Appell, Horn and Lauricella functions (33C65) Real polynomials: analytic properties, etc. (26C05) Painlevé-type functions (33E17)

Related Items (6)

The irreducibility of some Wronskian Hermite polynomials ⋮ Painlevé-III monodromy maps under the \(D_6 \rightarrow D_8\) confluence and applications to the large-parameter asymptotics of rational solutions ⋮ Asymptotic behavior of Wronskian polynomials that are factorized via \(p\)-cores and \(p\)-quotients ⋮ Recurrence relations for Wronskian Laguerre polynomials ⋮ The expansion of Wronskian Hermite polynomials in the Hermite basis ⋮ Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence

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