Results 81 to 90 of about 15,024,563 (297)

Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

Open Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
doaj   +1 more source

Some Results on Composition of Analytic Functions in a Unit Polydisc

Universal Journal of Mathematics and Applications
The manuscript is an attempt to consider all methods which are applicable to investigation a directional index for composition of an analytic function in some domain and an entire function.
Petro Kurliak, Oleh Skaskiv, Andriy Bandura   +2 more
doaj   +1 more source

ON CERTAIN SUB-SPACE OF X

مجلة بغداد للعلوم, 2008
The study of properties of space of entire functions of several complex variables was initiated by Kamthan [4] using the topological properties of the space. We have introduced in this paper the sub-space of space of entire functions of several complex
Baghdad Science Journal
doaj   +1 more source

On functions of several complex variables [PDF]

Transactions of the American Mathematical Society, 1916
By means of certain very simple examples it is possible to decide a number of questions relating to analytic functions of several complex variables, which have hitherto, so far as the author is aware, remained open. It is unsatisfactory, in stating an important theorem, not to know whether a given hypothesis is needed merely for convenience of proof ...
openaire   +1 more source

Characterization of the Hilbert ball by its automorphism group

, 1999
1
김강태
core  

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

FEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2

Demonstratio Mathematica
This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
doaj   +1 more source

Composition of entire function and analytic functions in the unit ball with a vanished gradient

Математичні Студії
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables

Abstract and Applied Analysis, 2014
Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈S⁡a3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
doaj   +1 more source

Partial differential equations in several complex variables

, 2001
This book is intended both as an introductory text and as a reference book for those interested in studying several complex variables in the context of partial differential equations.
So-Chin Chen, Chen, So-Chin, Shaw, Mei-Chi, Mei-Chi Shaw   +3 more
core   +1 more source