Results 41 to 50 of about 3,149,967 (325)

Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in ℂn#

open access: yesDemonstratio Mathematica, 2023
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj   +1 more source

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

open access: yesПроблемы 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

open access: yesAdvances 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   +3 more
doaj   +1 more source

Normal Families of Meromorphic Mappings of Several Complex Variables for Moving Hypersurfaces in a Complex Projective Space [PDF]

open access: yes, 2015
Final version, to appear in Nagoya Math. J.. Lemma on Hausdorff measure added, and a bit more details are given in the proof of Theorems 1.1 and 1.2International audienceThe main aim of this article is to give some sufficient conditions for a family of ...
Dethloff, Gerd   +2 more
core   +2 more sources

Solutions for systems of complex Fermat type partial differential-difference equations with two complex variables

open access: yesAIMS Mathematics, 2021
By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
doaj   +1 more source

A function algebra providing new Mergelyan type theorems in several complex variables

open access: yes, 2019
For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of ...
Falcó, Javier   +3 more
core   +1 more source

An Adaptive Management Model for Brown Bears in Hokkaido: Based on Total Population and the Number of Nuisance Bears

open access: yesPopulation Ecology, EarlyView.
Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda   +5 more
wiley   +1 more source

Toeplitz operators in several complex variables

open access: yesJournal of Functional Analysis, 1977
AbstractLet S be the unit sphere in Cn. We investigate the properties of Toeplitz operators on S, i.e., operators of the form Tφf = P(φf) where φ ϵ L∞(S) and P denotes the projection of L2(S) onto H2(S). The aim of this paper is to determine how far the extensive one-variable theory remains valid in higher dimensions.
A.M Davie, Nicholas P. Jewell
openaire   +3 more sources

Speciation Through the Lens of Population Dynamics: A Theoretical Primer on How Small and Large Populations Diverge

open access: yesPopulation Ecology, EarlyView.
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi   +3 more
wiley   +1 more source

$L^2$ extension theorem for jets with variable denominators

open access: yesComptes Rendus. Mathématique, 2021
By studying the variable denominators introduced by X. Zhou–L. Zhu, we generalize the results of D. Popovici for the $L^2$ extension theorem for jets. As a direct corollary, we also give a generalization of T. Ohsawa–K. Takegoshi’s extension theorem to a
Rao, Sheng, Zhang, Runze
doaj   +1 more source

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