Point vortices and classical orthogonal polynomials

DOI10.1134/S1560354712050012zbMath1257.33048arXiv1201.3481OpenAlexW2056283706MaRDI QIDQ1760043

Nikolay A. Kudryashov, Maria V. Demina

Publication date: 12 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3481

zbMATH Keywords

classical orthogonal polynomialspoint vorticesspecial polynomialsMehler-Heine type formulae

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (7)

Multi-particle dynamical systems and polynomials ⋮ Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Relative equilibrium configurations of point vortices on a sphere ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Negative Pell equation and stationary configurations of point vortices on the plane ⋮ Stationary configurations of point vortices on a cylinder

Cites Work

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• Vortices and polynomials
• Point vortex dynamics: A classical mathematics playground
• The Symmetric Fourth Painlevé Hierarchy and Associated Special Polynomials
• Vortices and Polynomials

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