IJPAM: Volume 53, No. 4 (2009)
JACOBIAN OF THE GENERALIZED 
-HYPERBOLIC
COORDINATES
-HYPERBOLIC
COORDINATES
Anna Macurova
, Dusan Macura
Department of Mathematics, Informatics and Cybernetics
Faculty of Manufacturing Technologies
University of Technology in Kosice
Campus Presov
1, Bayerova, Presov, 080 01, SLOVAK REPUBLIC
e-mail: anna.macurova@tuke.sk
Department of Mathematics
Faculty of Natural and Humanitarian Sciences
University of Presov
1, 17 November, Presov, 081 16, SLOVAK REPUBLIC
e-mail: macura@unipo.sk
, Dusan Macura
Department of Mathematics, Informatics and Cybernetics
Faculty of Manufacturing Technologies
University of Technology in Kosice
Campus Presov
1, Bayerova, Presov, 080 01, SLOVAK REPUBLIC
e-mail: anna.macurova@tuke.sk
Department of Mathematics
Faculty of Natural and Humanitarian Sciences
University of Presov
1, 17 November, Presov, 081 16, SLOVAK REPUBLIC
e-mail: macura@unipo.sk
Abstract.In this paper the transformation by means
of the generalized -hyperbolic coordinates is investigated. We prove of the
regularity of this transformation and we use it in search of the
solution of the differential system.
Received: May 16, 2009
AMS Subject Classification: 34A34
Key Words and Phrases: generalized 
-hyperbolic coordinates, Jacobian, regular mapping, angle function
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 4