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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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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.
Gasaneo, G. +3 more
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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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The Mathematics Teacher, 1953
The development of hyperbolic functions in the traditional trigonometry courses (if this is ever reached during a one-semester instruction) is usually confined to purely algebraic methods. However effective the latter procedures may be, it is doubtful that a student realizes the import of the properties of hyperbolic functions.
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The development of hyperbolic functions in the traditional trigonometry courses (if this is ever reached during a one-semester instruction) is usually confined to purely algebraic methods. However effective the latter procedures may be, it is doubtful that a student realizes the import of the properties of hyperbolic functions.
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The k-Fibonacci hyperbolic functions
Chaos, Solitons & Fractals, 2008Q1
Falcón, Sergio, Plaza, Ángel
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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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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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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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Hyperbolic Lagrangian functions
Applied Mathematics and Mechanics, 1998The 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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