Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 2, May 2005, Pages 170 - 177

Separabilty in Hamilton­Jacobi Sense in Two Degrees of Freedom and the Appell Hypergeometric Functions

Authors
Vladimir Dragovi
Corresponding Author
Vladimir Dragovi
Received 1 November 2004, Accepted 1 January 2005, Available Online 1 May 2005.
DOI
10.2991/jnmp.2005.12.2.3How to use a DOI?
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 hypegeometric functions F4 of two variables, leading to an interesting connection between two classical theories: separability in Hamilton­Jacobi sense on the one hand and the theory of hypergeometric functions on the other.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 2
Pages
170 - 177
Publication Date
2005/05/01
ISBN
91-974824-4-7
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.2.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Vladimir Dragovi
PY  - 2005
DA  - 2005/05/01
TI  - Separabilty in Hamilton­Jacobi Sense in Two Degrees of Freedom and the Appell Hypergeometric Functions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 170
EP  - 177
VL  - 12
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.2.3
DO  - 10.2991/jnmp.2005.12.2.3
ID  - Dragovi2005
ER  -