Results 21 to 30 of about 3,259,279 (281)

Kernel convergence and biholomorphic mappings in several complex variables

International Journal of Mathematics and Mathematical Sciences, 2003
We deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem,
Gabriela Kohr
doaj   +1 more source

Representation of logarithm of entire function in several complex variables

Karpatsʹkì Matematičnì Publìkacìï, 2013
The integral representation of some branch of an entire on $\mathbb{C}^n$ function which generalized the Poisson-Jensen-Stoll Formula is obtained.
O. Ya. Brodyak, Ya. V. Vasyl'kiv
doaj   +1 more source

Log-domain implementation of complex dynamics reaction-diffusion neural networks [PDF]

, 2003
In this paper, we have identified a second-order reaction-diffusion differential equation able to reproduce through parameter setting different complex spatio-temporal behaviors.
Linares Barranco, Bernabé, Serrano Gotarredona, María Teresa   +1 more
core   +1 more source

A Note on Strongly Starlike Mappings in Several Complex Variables

Abstract and Applied Analysis, 2014
Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in ℂn and let α∈0,1. In this paper, we will show that if f is strongly starlike of order α in the sense of Liczberski and Starkov, then it is also strongly starlike of order α in ...
Hidetaka Hamada, Tatsuhiro Honda, Gabriela Kohr, Kwang Ho Shon   +3 more
doaj   +1 more source

Prescribing the Preschwarzian in several complex variables

, 2010
We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
core   +1 more source

Presence or absence of analytic structure in maximal ideal spaces [PDF]

, 2014
We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks.
Izzo, Alexander J., Kalm, Håkan Samuelsson, Wold, Erlend Fornæss   +2 more
core   +1 more source

Results on Solutions for Several Systems of Partial Differential-Difference Equations with Two Complex Variables

Journal of Mathematics, 2023
This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference ...
Yuxian Chen, Libing Xie, Hongyan Xu
doaj   +1 more source

On the Analytic Continuation of Lauricella–Saran Hypergeometric Function F_K(a₁,a₂,b₁,b₂;a₁,b₂,c₃;z)

Mathematics, 2023
The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova, Roman Dmytryshyn, Vitaliy Goran   +2 more
doaj   +1 more source

Uniformly starlike and uniformly convex mappings in several complex variables [PDF]

Проблемы анализа, 2000
In this paper we introduce some subclasses of biholomorphic mappings on the unit ball of ℂ n. These mappings called uniformly starlike and uniformly convex are introduced by geometric interpretation, like in the case of one variable.
Kanas S., Kohr G., Kohr M.
doaj  

Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables

Advances in Difference Equations, 2021
This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu, Da Wei Meng, Sanyang Liu, Hua Wang   +3 more
doaj   +1 more source