Results 81 to 90 of about 2,418,931 (242)

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

Lewy unsolvability and several complex variables.

Michigan Mathematical Journal, 1991
The paper presents two new proofs of the unsolvability of certain partial differential equations of first order \(Lf=g\). Both proofs depend on the theory of holomorphic functions of several complex variables. In the first case the unsolvability of \(Lf=g\) results from the existence of peak points in the topological algebra that is the kernel of \(L\).
openaire   +3 more sources

The Lindelöf principle in several complex variables [PDF]

, 2006
We formulate and prove a new Lindelöf principle in the function theory of several complex variables. Inspired by the classical result, as improved later by Lehto and Virtanen, this new result meshes closely with the well-established Fatou theorems of ...
Steven G. Krantz, Krantz, Steven G.
core   +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

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

Dynamics in Several Complex Variables [PDF]

, 2017
In this chapter we shall describe the dynamics of holomorphic self-maps of taut manifolds, and in particular the dynamics of holomorphic self-maps of convex and strongly pseudoconvex domains. A main tool in this exploration will be provided by the Kobayashi distance.
openaire   +2 more sources