Results 291 to 300 of about 279,482 (318)
Some of the next articles are maybe not open access.
The q-pell Hyperbolic Functions
Applied Mathematics & Information Sciences, 2012In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. The aim of this study to give q-analogue of the Pell hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions.
Guncan, A., Akduman, S.
openaire +4 more sources
The q-Fibonacci Hyperbolic Functions
Applied Mathematics & Information Sciences, 2012In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. In this paper, we study q-analogue of Fibonacci hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Golden ratio as follow φq = 1+1+4qn−22,
Guncan, A., Erbil, Y.
openaire +4 more sources
1988
Publisher Summary This chapter discusses hyperbolic functions. Functions that are associated with the geometry of the conic section called a hyperbola are called hyperbolic functions. Applications of hyperbolic functions include transmission line theory and catenary problems. Hyperbolic functions may be evaluated readily using a calculator.
openaire +2 more sources
Publisher Summary This chapter discusses hyperbolic functions. Functions that are associated with the geometry of the conic section called a hyperbola are called hyperbolic functions. Applications of hyperbolic functions include transmission line theory and catenary problems. Hyperbolic functions may be evaluated readily using a calculator.
openaire +2 more sources
Inequalities for hyperbolic functions
Applied Mathematics and Computation, 2012Abstract Several inequalities involving hyperbolic functions are derived. Some of them are obtained with the aid of Stolarsky and Gini means.
Edward Neuman, József Sándor
openaire +2 more sources
Advances in Applied Clifford Algebras, 2007
The aim of this article is to consider the hyperbolic version of the standard Clifford analysis. The need for such a modification arises when one wants to make sure that the power function x m is included. The leading idea is that the power function is the conjugate gradient of a harmonic function, defined with respect to the hyperbolic metric of the ...
Sirkka-Liisa Eriksson, Heinz Leutwiler
openaire +2 more sources
The aim of this article is to consider the hyperbolic version of the standard Clifford analysis. The need for such a modification arises when one wants to make sure that the power function x m is included. The leading idea is that the power function is the conjugate gradient of a harmonic function, defined with respect to the hyperbolic metric of the ...
Sirkka-Liisa Eriksson, Heinz Leutwiler
openaire +2 more sources
Complex Hyperbolic function charts
Electrical Engineering, 1935Discussion of a paper by L. F. Woodruff published in the May 1935 issue, pages 550–4. A. E. Kennelly (Harvard University, Cambridge, Mass.): The charts offered in the paper will be serviceable to transmission engineers and to all those who are interested in alternating current lines having at operating frequency an angle not exceeding 0.4 in size.
openaire +2 more sources
Hyperbolically Convex Functions [PDF]
, 2003 A conformal map f of the unit disk D of the complex plane into itself is called hyperbolically convex if the hyperbolic segment between any two points of f (D) also lies in f (D). These functions form a non-linear space invariant under Moebius transformations of D onto itself.
Diego Mejía, Ch. Pommerenke
openaire +1 more source
Advances in Applied Clifford Algebras, 2008
The hyperbolic version of the standard Clifford analysis will be considered. In this modification the power function x m becomes a solution. In more details, the Dirac operator \(Df = \sum^n_{i=0} e_i \frac{\partial f} {\partial x_i}\) with e 0 = 1, defined with respect to the Clifford algebra Cl n , is replaced by the operator \(M_kf(x) = Df (x ...
Sirkka-Liisa Eriksson, Heinz Leutwiler
openaire +2 more sources
The hyperbolic version of the standard Clifford analysis will be considered. In this modification the power function x m becomes a solution. In more details, the Dirac operator \(Df = \sum^n_{i=0} e_i \frac{\partial f} {\partial x_i}\) with e 0 = 1, defined with respect to the Clifford algebra Cl n , is replaced by the operator \(M_kf(x) = Df (x ...
Sirkka-Liisa Eriksson, Heinz Leutwiler
openaire +2 more sources
Elliptic and Hyperbolic Functions
2016In 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
openaire +2 more sources
On a new class of hyperbolic functions
Chaos, Solitons & Fractals, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexey Stakhov, Boris Rozin
openaire +3 more sources