Results 91 to 100 of about 2,418,931 (242)

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  

Entire Functions of Several Variables: Analogs of Wiman’s Theorem

Axioms
This article considers a class of entire functions of several complex variables that are bounded in the Cartesian product of some half-planes. Each such hyperplane is defined on the condition that the real part of the corresponding variable is less than ...
Oleh Skaskiv, Andriy Bandura, Tetyana Salo, Sviatoslav Dubei   +3 more
doaj   +1 more source

Lectures on counterexamples in several complex variables [PDF]

, 2007
Counterexamples are remarkably effective for understanding the meaning, and the limitations, of mathematical results. Fornæss and Stensønes look at some of the major ideas of several complex variables by considering counterexamples to what might seem ...
Fornæss, John Erik, Stensønes, Berit
core  

Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

Fractal and Fractional
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj   +1 more source

An application of Macaulay’s estimate to sums of squares problems in several complex variables

, 2014
Several questions in complex analysis lead naturally to the study of bihomogeneous polynomials r(z, z) on Cn×Cn for which r(z, z) ‖z‖ = ‖h(z)‖ for some natural number d and a holomorphic polynomial mapping h = (h1, . . . , hK) from Cn to CK .
Dusty Grundmeier, Jennifer Halfpap Kacmarcik   +1 more
semanticscholar   +1 more source

Geometric function theory in several complex variables [PDF]

, 1990
This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function ...
Ochiai, Takushiro, Noguchi, Junjiro
core  

From transcendence to algebraicity: techniques of analytic continuation on bounded symmetric domains and their dual compact Hermitian symmetric spaces [PDF]

, 2015
Analytic continuation is a central issue in Several Complex Vari-ables, starting with the Hartogs Phenomenon. We examine the applicationsof techniques of analytic continuation in Complex Geometry for irreduciblebounded symmetric domains Ω and their dual
Mok, N
core  

The stars at infinity in several complex variables [PDF]

, 2023
This text reviews certain notions in metric geometry that may have further applications to problems in complex geometry and holomorphic dynamics in several variables.
Karlsson, Anders
core   +1 more source

On the Zariski closure of a germ of totally geodesic complex submanifold on an arithmetic variety [PDF]

, 2012
published_or_final_versio
Mok, N
core  

Ball exhaustion of the Reinhardt domain: properties of analytic functions of bounded $\mathbf{L}$-index in joint variables

Математичні Студії
This article is a continuation of the research on the concept of an analytic function of a bounded $\mathbf{L}$-index, conducted during 2019-2025 in the articles A. Bandura, T. Salo and O.
A. I. Bandura, L. I. Kryshtopa, L. M. Shehda   +2 more
doaj   +1 more source