Special polynomials associated with rational solutions of the fifth Painlevé equation

DOI10.1016/j.cam.2004.04.015zbMath1077.33035OpenAlexW1995129614MaRDI QIDQ1772335

Peter A. Clarkson

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.04.015

zbMATH Keywords

Painlevé equationsToda equationsRational solutions

Mathematics Subject Classification ID

Painlevé-type functions (33E17)

Related Items (max. 100)

Homotopy analysis method to obtain numerical solutions of the Painlevé equations ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ Moduli spaces for the fifth Painlevé equation ⋮ A constructive proof for the Umemura polynomials of the third Painlevé equation ⋮ Single-user MIMO system, Painlevé transcendents, and double scaling ⋮ On integrable Ermakov-Painlevé IV systems ⋮ Discriminants of Umemura polynomials associated to Painlevé III ⋮ A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions ⋮ Variations for some Painlevé equations ⋮ Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial ⋮ Solutions of mixed Painlevé P_III—Vmodel ⋮ Wronskian Appell polynomials and symmetric functions ⋮ The generalized Krawtchouk polynomials and the fifth Painlevé equation

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