A Generalized Freud Weight

DOI10.1111/sapm.12105zbMath1336.33022arXiv1510.03772OpenAlexW3121984935MaRDI QIDQ2804362

Abey Sherif Kelil, Peter A. Clarkson, Kerstin Jordaan

Publication date: 29 April 2016

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

Full work available at URL: https://arxiv.org/abs/1510.03772

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)

Related Items

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Differential and difference equations for recurrence coefficients of orthogonal polynomials with a singularly perturbed Laguerre-type weight ⋮ Global asymptotics of orthogonal polynomials associated with a generalized Freud weight ⋮ Special function solutions of Painlevé equations: theory, asymptotics and applications ⋮ Properties of generalized Freud polynomials ⋮ A differential equation for varying Krall-type orthogonal polynomials ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants ⋮ From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals ⋮ Properties of Certain Classes of Semiclassical Orthogonal Polynomials ⋮ Painlevé V for a Jacobi unitary ensemble with random singularities ⋮ The biparametric Fisher–Rényi complexity measure and its application to the multidimensional blackbody radiation ⋮ A generalized sextic Freud weight ⋮ On integrable Ermakov-Painlevé IV systems ⋮ The symmetric semi-classical orthogonal polynomials of class two and some of their extensions ⋮ On properties of a deformed Freud weight ⋮ Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence ⋮ Semi-classical Jacobi polynomials, Hankel determinants and asymptotics ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials ⋮ On Freud-Sobolev type orthogonal polynomials ⋮ On certain properties of perturbed Freud-type weight: a revisit ⋮ Generalised Airy polynomials

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