Hyperbolic function - Open Access .click

Journal of Mathematical Physics, 2001
In this work we present a new function to represent the approximate solution of a system of three charged particles. This function is based on an extension to two variables of the confluent hypergeometric function 1F1 of Kummer and can be obtained using a method similar to that used by Appell and Kampé de Fériet.
Gustavo Gasaneo +3 more
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On hyperbolically convex functions

Journal of Geometric Analysis, 2000
In this interesting paper the authors study the hyperbolically convex functions. A conformal map of the unit disc \({\mathbb D}\) into itself is called hyperbolically convex if \(f({\mathbb D})\) is a hyperbolically convex domain, which means that the non-Euclidean segment between any two points of \(f({\mathbb D})\) also belongs to \(f({\mathbb D})\).
Diego Mejía, Ch. Pommerenke
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Hyperbolic Lagrangian functions

Applied Mathematics and Mechanics, 1998
The equation of motion for a free particle on Minkowski space is dicussed in Lagrangian, Hamiltonian, and Hamilton-Jacobi form, using a representation with an imaginary time coordinate. Unfortunately, the English translation of this Chinese paper is difficult to understand since it is not in agreement with standard English terminology.
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