Results 31 to 40 of about 284,848 (317)

ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION

Вестник КазНУ. Серия математика, механика, информатика, 2021
It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
doaj   +1 more source

Hyperbolically convex functions II [PDF]

Annales Polonici Mathematici, 1999
A holomorphic univalent function \(f\) defined on the unit disk \(D\) is said to be hyperbolically convex if its image \(f(D)\) is a hyperbolically convex subset of \(D\). In the case of Euclidean convex functions, there are simple known characterizations, for instance \(\text{Re}\{1+zf''(z)/f'(z)\}>0\), but much less is known about hyperbolically ...
Ma, William, Minda, David
openaire   +2 more sources

Arithmetic Optimization Algorithm Based on Cauchy Mutation Trigonometric Function Search to Solve Combined Economic Emission Dispatch Problem

IEEE Access, 2023
Nowadays, problems such as greenhouse effect and air pollution become increasingly prominent. The power generation process should pay attention to the fuel cost and reduce the pollution to the environment.
Yun-Peng Li, Lin-Xuan Zhang, Zheng-Jie Feng   +2 more
doaj   +1 more source

Search for Tracker Potentials in Quintessence Theory [PDF]

, 2001
We report a significant finding in Quintessence theory that the the scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe.
Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Perlmutter S, Prigogine I, Prigogine I, Ratra B, Vinod B Johri   +11 more
core   +3 more sources

Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means

Axioms, 2022
In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
doaj   +1 more source

The Quantum Mellin transform [PDF]

, 2006
We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum ...
Bateman H, Berry M V, Conrey J B, de Alfaro V, G J Milburn, J Twamley, Jackiw R, Montgomery H L, Odlyzko A M Kartashev L P Kartashev S I, Paûzma V, Pirandola S, Sack R A, Sneddon I N, Spanier J, Thompson W, Twamley J   +15 more
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Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications

Journal of Inequalities and Applications, 2016
In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
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On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory

, 2007
Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers.
Bers L, Bers L, D Rochon, Kantor I L, Kravchenko V V, Kravchenko V V, Lavrentyev M A, Motter A F, Price G B, Rochon D, Rochon D, S Tremblay, V V Kravchenko, Vekua I N, Wen G C   +14 more
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Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot

, 2005
Loosely speaking, the Volume Conjecture states that the limit of the n-th colored Jones polynomial of a hyperbolic knot, evaluated at the primitive complex n-th root of unity is a sequence of complex numbers that grows exponentially.
Bailey, Boyd, Garoufalidis, Garoufalidis, Kauffman, Masbaum, Stavros Garoufalidis, Yueheng Lan   +7 more
core   +1 more source

Starlikness Associated with Cosine Hyperbolic Function

Mathematics, 2020
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi, Muhammad Arif, Mohammed A. Alghamdi, Shehzad Hussain   +3 more
doaj   +1 more source