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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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New Multi-layer Method for Z-number Ranking using Hyperbolic Tangent Function and Convex Combination
, 2018Many practical applications, under the definitive evolutionary state of the nature, the consequences of the decisions, mental states of a decision maker are required. Thus, the need is for a new concept in the analysis of decision-making.
S. Ezadi, T. Allahviranloo
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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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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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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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The hyperbolic–hypergeometric functions
Journal of Mathematical Physics, 2001In 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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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.
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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
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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
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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
, 2016Book file PDF easily for everyone and every device. You can download and read online A Step to Paradise: Episode 5 (Step by Step Love) file PDF Book only if you are registered here.
M. Stoll
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