Authors: Dragović, Vladimir 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Separabilty in Hamilton–Jacobi Sense in Two Degrees of Freedom and the Appell Hypergeometric Functions
Journal: Journal of Nonlinear Mathematical Physics
Volume: 12
Issue: 2
First page: 170
Last page: 177
Issue Date: 1-Jan-2005
Rank: M23
ISSN: 1402-9251
DOI: 10.2991/jnmp.2005.12.2.3
Abstract: 
A huge family of separable potential perturbations of integrable billiard systems and the Jacobi problem for geodesics on an ellipsoid is given through the Appell hypergeometric functions F4 of two variables, leading to an interesting connection between two classical theories: separability in Hamilton–Jacobi sense on the one hand and the theory of hypergeometric functions on the other.
Publisher: Taylor & Francis
Project: Ministry of Sciences and Technol-ogy of the Republic of Serbia, Project 1643

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