Results 341 to 350 of about 11,025,050 (395)

On hyperbolically convex functions

Journal of Geometric Analysis, 2000
Let $$\mathbb{D}$$ be the unit disk of the complex plane. A conformai map of $$\mathbb{D}$$ into itself is called hyperbolically convex if the non-Euclidean segment ...
Diego Mejía, Ch. Pommerenke
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Islanding detection technique based on inverse hyperbolic secant function

, 2016
This study presents an inverse hyperbolic secant function based islanding detection technique for distribution network containing various types of distributed generations.
Karan Sareen, B. Bhalja, R. Maheshwari
semanticscholar   +1 more source

Extended hyperbolic function method for the (2 +1)-dimensional nonlinear soliton equation

Results in Physics, 2022
H. Rehman, A. Awan, E. T. Eldin, S. Alhazmi, Mansour F. Yassen, Rizwan Haider   +5 more
semanticscholar   +1 more source

Elliptic and Hyperbolic Functions

2016
In this chapter, we go on into the methods for obtaining the analytical solutions of the SD oscillator. A series of irrational elliptic functions and hyperbolic functions is proposed for the unperturbed oscillator to provide the analytical solutions for both the smooth and discontinuous cases with periodic solutions and the homoclinic ones which could ...
Qingjie Cao, Alain Léger
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HYPERBOLIC FUNCTIONS

1968
Publisher Summary This chapter discusses hyperbola functions. Sum and difference of ex, e- x occur as natural combinations, so it is convenient to have an abbreviated notation to express these relations. Functions thus defined are found to possess properties closely paralleling those of the trigonometrical functions.
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Generalized Hyperbolic Functions

The American Mathematical Monthly, 1982
(1982). Generalized Hyperbolic Functions. The American Mathematical Monthly: Vol. 89, No. 9, pp. 688-691.
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Functions inverse to weakly hyperbolic and hyperbolic pencils

Mathematical Notes, 2017
Necessary and sufficient conditions under which a matrix-valued function of a complex argument is inverse to a weakly hyperbolic or a hyperbolic pencil are established. For hyperbolic pencils, a constructive description of the inverse functions in terms of their partial fraction expansion with matrix coefficients is presented.
O. G. Konyukhova, A. I. Barsukov
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Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions

1994
If theoretical problems are under consideration, angles are not measured in degrees, but in radians (circular measure): The magnitude of an angle α is given by the length l of the arc, intercepted by the arms of the angle α on the unit circle with centre at the vertex of the angle (Fig. 2.1).
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Hyperbolic Lagrangian functions

Applied Mathematics and Mechanics, 1998
Hyperbolic complex numbers correspond with Minkowski geometry. The hyperbolic Lagrangian equation and the Hamilton-Jacobi equation will be derived from the invariants of four-dimensional space-time intervals and hyperbolic Lorentz transformations.
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New explicit exact solutions of the unstable nonlinear Schrödinger’s equation using the expa and hyperbolic function methods

Optical and quantum electronics, 2018
K. Hosseini, A. Zabihi, F. Samadani, R. Ansari   +3 more
semanticscholar   +2 more sources