Results 1 to 10 of about 10,766,943 (330)
Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function
AIMS Mathematics, 2023 In the present article, we define and investigate a new subfamily of holomorphic functions connected with the cosine hyperbolic function with bounded turning.
Muhammmad Ghaffar Khan +5 more
doaj +2 more sources
Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function.
PLoS ONE, 2021 Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and ...
Sihai Guan +3 more
doaj +2 more sources
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 +3 more
doaj +2 more sources
Starlikeness Associated with Tangent Hyperbolic Function
Journal of Function Spaces, 2022 The primary objective of this study is to establish a class of starlike functions (symmetric under rotation) that are related to a tangent hyperbolic.
Huo Tang +5 more
doaj +2 more sources
Harmonic functions on the real hyperbolic ball I : Boundary values and atomic decomposition of Hardy spaces [PDF]
arXiv, 1999 We study harmonic functions for the Laplace-Beltrami operator on the real hyperbolic ball. We obtain necessary and sufficient conditions for this functions and their normal derivatives to have a boundary distribution.In doing so, we put forward different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the ...
Philippe Jaming
arxiv +3 more sources
Hypergeometric functions and hyperbolic metric [PDF]
arXiv, 2008 We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain.
G. D. Anderson +3 more
arxiv +3 more sources
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
doaj +2 more sources
Fractional-order chaotic system with hyperbolic function
Advances in Mechanical Engineering, 2019 In this article, we study bistability, multiscroll, and symmetric properties of fractional-order chaotic system with cubic nonlinearity. The system is configured with hyperbolic function consisting of a parameter “ g .” By varying the parameter “ g ...
G Gugapriya +3 more
doaj +2 more sources
Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations
Journal of Applied Mathematics, 2012 With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed +1 more
doaj +2 more sources
Theoretical Analysis of Nonlinear Equation in Reaction-Diffusion System: Hyperbolic Function Method
European Journal of Mathematics and Statistics, 2023 The nonlinear reactions-diffusion process describes a chemical reaction that involves three species, two reactions, and diffusion. The system of equations coupled with the nonlinear reaction terms with mixed Dirichlet and Neumann boundary conditions is ...
Singaravel Anandhar Salai Sivasundari +2 more
semanticscholar +1 more source