Results 81 to 90 of about 1,046,218 (306)

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

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

A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of the work is to study the diffraction of a TM–polarized electromagnetic wave on diffraction gratings with several strokes on the period. Materials and methods.
Yuriy G. Smirnov
doaj   +1 more source

Projections in several complex variables [PDF]

Mémoires de la Société mathématique de France, 2010
This work consists two parts. In the first part, we completely study the heat equation method of Menikoff-Sjostrand and apply it to the Kohn Laplacian defined on a compact orientable connected CR manifold. We then get the full asymptotic expansion of the Szego projection for (0,q) forms when the Levi formis nondegenerate.
openaire   +2 more sources

Characterization of the Hilbert ball by its automorphism group

, 1999
1
김강태
core  

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

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

Growth of entire solutions of singular initial-value problem in several complex variables

Electronic Journal of Differential Equations, 2012
In this article, we characterize the order, type, lower order, and lower type of entire function solutions to a class of singular initial-value problems, in terms of multinomials for $ngeq 2$.
Devendra Kumar, Mohammed Harfaoui
doaj  

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