Durfee Rectangles and Pseudo‐Wronskian Equivalences for Hermite Polynomials

DOI10.1111/sapm.12225zbMath1408.33021arXiv1612.05514OpenAlexW2885084564WikidataQ129420490 ScholiaQ129420490MaRDI QIDQ4627038

Robert Milson, Daivd Gómez-Ullate, Yves Grandati

Publication date: 7 March 2019

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

Full work available at URL: https://arxiv.org/abs/1612.05514

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (15)

Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials ⋮ A Bochner type characterization theorem for exceptional orthogonal polynomials ⋮ Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials ⋮ Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters ⋮ General solution of the exceptional Hermite differential equation and its minimal surface representation ⋮ Exceptional Jacobi polynomials ⋮ The adelic Grassmannian and exceptional Hermite polynomials ⋮ Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations ⋮ The expansion of Wronskian Hermite polynomials in the Hermite basis ⋮ Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems ⋮ Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials ⋮ Corrigendum on the proof of completeness for exceptional Hermite polynomials: ``Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials ⋮ Spectral theory of exceptional Hermite polynomials ⋮ Wronskian Appell polynomials and symmetric functions ⋮ Ladder Operators and Rational Extensions

This page was built for publication: Durfee Rectangles and Pseudo‐Wronskian Equivalences for Hermite Polynomials