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Nanometer-Scale Cavities for Mid-Infrared Radiation via Image Phonon Polariton Resonators. [PDF]
Nano LettKlein M +4 more
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Finite-time attitude tracking control for spacecraft based on backstepping method with input saturation. [PDF]
PLoS OneRen Y, Xing A.
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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.
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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.
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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
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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
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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
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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.
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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.
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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
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