Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
Results in Physics, 2019 This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function.
Onur Alp Ilhan +3 more
doaj
Hyperbolic geometry on noncommutative polyballs [PDF]
arXiv, 2017 This paper is an introduction to the hyperbolic geometry of noncommutative polyballs B_n of bounded linear operators on Hilbert spaces. We use the theory of free pluriharmonic functions on polyballs and noncommutative Poisson kernels on tensor products of full Fock spaces to define hyperbolic type metrics on B_n, study their properties, and obtain ...
arxiv
On geometrical illustration of cyclic and hyperbolic functions [PDF]
, 1881 František Josef Studnička
openalex +1 more source
Transformation of Trigonometric Functions into Hyperbolic Functions Based on Cable Statics
Applied SciencesTrigonometric functions are widely used to express relationships between the sides and angles of triangles, being fundamental in a wide variety of fields in science and engineering.
Julian Garcia-Guarin
doaj +1 more source
Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions [PDF]
in Y. Kuroe, T. Nitta (eds.), Proceedings of the First SICE
Symposium on Computational Intelligence [Concentrating on Clifford Neural
Computing], 30 Sep. 2011, KIT, Kyoto, Japan, catalogue no. 11PG0009, pp. 23 -
28, 2011, 2013 The Liouville theorem states that bounded holomorphic complex functions are necessarily constant. Holomorphic functions fulfill the socalled Cauchy-Riemann (CR) conditions. The CR conditions mean that a complex $z$-derivative is independent of the direction.
arxiv
On the hyperbolic fibonacci matrix functions
, 2018 In this study, we will introduce a new class of hyperbolic matrix functions. By comparing Binet formulas for the Fibonacci and Lucas numbers to the formulas of classical hyperbolic matrix functions, we will define hyperbolic Fibonacci matrix functions and we will deal with some of their properties.
Bahşi, Mustafa, Solak, Süleyman
openaire +5 more sources
On the introduction of the notion of hyperbolic functions [PDF]
, 1895 M. W. Haskell
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Natural metrics and composition operators in generalized hyperbolic function spaces
, 2012 In this paper, we define some generalized hyperbolic function classes. We also introduce natural metrics in the generalized hyperbolic (p, α)-Bloch and in the generalized hyperbolic Q * (p, s) classes. These classes are shown to be complete metric spaces
A. Ahmed
semanticscholar +1 more source
On the Computation of Exponential and Hyperbolic Functions Using Continued Fractions [PDF]
, 1955 Nathaniel Macon
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Gas turbine reliability model based on tangent hyperbolic reliability function
, 2015 The present work deals with the exploration of a new model proposed for the reliability analysis of industrial production systems. This proposed model is mainly based on the tangent hyperbolic function, where the survival function is determined and used ...
A. Djeddi, A. Hafaifa, A. Salam
semanticscholar +1 more source