Generalised Airy polynomials
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Publication:5877092
DOI10.1088/1751-8121/abf019OpenAlexW3137458768MaRDI QIDQ5877092
Peter A. Clarkson, Kerstin Jordaan
Publication date: 3 February 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13279
momentsasymptoticszerossemi-classical orthogonal polynomialsrecurrence coefficientsgeneralised Airy weightgeneralised sextic Freud weight
Related Items (3)
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ 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
Uses Software
Cites Work
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- The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation
- Topological expansion in the complex cubic log-gas model: one-cut case
- Convexity of the zeros of some orthogonal polynomials and related functions
- Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
- Large \(z\) asymptotics for special function solutions of Painlevé II in the complex plane
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight
- On characterizations of classical polynomials
- Multiple orthogonal polynomials associated with an exponential cubic weight
- A Generalized Freud Weight
- Painlevé I double scaling limit in the cubic random matrix model
- On Airy Solutions of the Second Painlevé Equation
- Unique positive solution for an alternative discrete Painlevé I equation
- The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
- Painlevé IV and degenerate Gaussian unitary ensembles
- Bound on the Extreme Zeros of Orthogonal Polynomials
- Higher monotonicity properties of certain Sturm-Liouville functions. V
- Ladder operators and differential equations for orthogonal polynomials
- Special solutions of the Toda chain and combinatorial numbers
- On semiclassical orthogonal polynomials associated with a Freud‐type weixght
- Monotonicity of zeros of polynomials orthogonal with respect to an even weight function
- Topological Expansion in the Cubic Random Matrix Model
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