The Appell hypergeometric functions and classical separable mechanical systems

DOI10.1088/0305-4470/35/9/311zbMath1046.70009arXivmath-ph/0008009OpenAlexW2051758645MaRDI QIDQ4545305

Vladimir Dragović

Publication date: 15 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0008009

zbMATH Keywords

geodesicsellipsoidintegrable billiard systemsJacobi problem

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (8)

The second Appell function for one large variable ⋮ The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards ⋮ On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. ⋮ Projective integrable mechanical billiards ⋮ Hamiltonization of the generalized Veselova LR system ⋮ Caustics of Poncelet polygons and classical extremal polynomials ⋮ Geometry of integrable billiards and pencils of quadrics ⋮ Asymptotics of the first Appell functionF₁with large parameters II

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