Results 11 to 20 of about 63,391 (265)
Cauchy′s functional equation in restricted complex domains [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Using a method modified from that used by Pisot and Schoenberg in 1964‐1965, a Cauchy′s functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.
Watcharapon Pimsert +2 more
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The Cauchy-Riemann Differential Equations of Complex Functions [PDF]
Formalized Mathematics, 2009 Summary. In this article we prove Cauchy-Riemann dierential equations of complex functions. These theorems give necessary and sucient condition for dierentiable function.
Hiroshi Yamazaki +3 more
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Хімія, фізика та технологія поверхні, 2020 Highly disperse or porous complex and hybrid materials and nanocomposites characterized by the presence of several phases, nonuniform particulate morphology, and complicated porosity with contributions of pores of various shapes are widely used in ...
V. M. Gun'ko
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East European Journal of Physics, 2021 The paper presents an algorithm for constructing the family of the atomic radial basis functions of three independent variables generated by Helmholtz-type operator, which may be used as basis functions for the implementation of meshless methods for ...
Denys Protektor
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Applied Sciences, 2022 The trajectory planning method with dynamics is the key to improving the motion performance of manipulators. The optimal control method (OCM) is a key technology to solve optimal problems with dynamics.
Ziyao Xiong, Jianwan Ding, Liping Chen
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On the Calculation of Functional Safety Parameters of Technical Systems [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 Now the scientific methodology is created, the theory and practice of the analysis and synthesis of functional safety of responsible electronic programmable devices and systems at all stages of their life cycle are developed.
Igor B. Shubinskiy +2 more
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Some Properties on Complex Functional Difference Equations [PDF]
Abstract and Applied Analysis, 2014 We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form∑λ∈Iαλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p)s)/(b0(z)+b1(z)(f∘p)+ ⋯ +bt(z)(f∘p)t)), whereIis a finite set of multi-indexesλ=(λ0,λ1,…,λn),c0=0,cj∈ℂ∖{0} (j=1,2,…,n)are distinct complex constants,p(z)is a ...
Huang, Zhi-Bo, Zhang, Ran-Ran
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On a functional equation for the exponential function of a complex variable [PDF]
Glasgow Mathematical Journal, 1971 The following result is well known in the theory of analytic functions; see [1].Theorem A. Suppose that f(z) is an entire function of a complex variable z. Then f(z) satisfies the functional equationwhere z = x + iy (x, y real), if and only if f(z) = aexp(sz), where a is an arbitrary complex constant and s is an arbitrary real constant.
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021 We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free ...
Andrei D. Polyanin, Vsevolod G. Sorokin
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A new functional equation of Pexider type related to the complex exponential function [PDF]
Transactions of the American Mathematical Society, 1995 The purpose of this paper is to solve a new functional equation, characteristic for the complex exponential function, which contains four unknown entire functions and to solve, as an application, three further functional equations.
Haruki, Hiroshi +1 more
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