Results 91 to 100 of about 6,503,100 (217)

Constructing measures with identical moments [PDF]

arXiv, 2016
The Nevanlinna parametrization establishes a bijection between the class of all measures having a prescribed set of moments and the class of Pick functions. The fact that all measures constructed through the Nevanlinna parametrization have identical moments follows from the theory of orthogonal polynomials and continued fractions.
arxiv  

Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables

Advances 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, Da Wei Meng, Sanyang Liu, Hua Wang   +3 more
doaj   +1 more source

Nevanlinna-type theory based on heat diffusion [PDF]

arXiv, 2020
We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.
arxiv  

Which de Branges-Rovnyak spaces have complete Nevanlinna-Pick property? [PDF]

arXiv, 2019
We characterize the de Branges-Rovnyak spaces with complete Nevanlinna-Pick property. Our method relies on the general theory of reproducing kernel Hilbert spaces.
arxiv  

Some unity results on entire functions and their difference operators related to 4 CM theorem

Journal of Inequalities and Applications, 2020
This paper is to consider the unity results on entire functions sharing two values with their difference operators and to prove some results related to 4 CM theorem. The main result reads as follows: Let f ( z ) $f(z)$ be a nonconstant entire function of
BaoQin Chen, Sheng Li
doaj   +1 more source

Value distribution and potential theory

, 2002
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard's theorems to quasiregular maps between Riemannian ...
Eremenko, Alexandre
core   +2 more sources

Growth of solutions to higher order linear homogeneous differential equations in angular domains

Electronic Journal of Differential Equations, 2010
In this article, we discuss the growth of meromorphic solutions to higher order homogeneous differential equations in some angular domains, instead of the whole complex plane.
Nan Wu
doaj  

Unbounded functions in the unit disk

International Journal of Mathematics and Mathematical Sciences, 1983
A survey is made of results related to the value distribution of functions which are meromorphic or analytic in the unit disc and have unbounded growth according to some specific growth indicator.
L. R. Sons
doaj   +1 more source

Nevanlinna theory on complete Kähler manifolds [PDF]

arXiv, 2020
We study Nevanlinna theory on complete K\"ahler manifolds. As a consequence of the main result, we prove a defect relation of holomorphic mappings from complete K\"ahler manifolds of non-positive sectional curvature into complex projective manifolds under certain growth condition.
arxiv  

An Evertse-Ferretti Nevanlinna constant and its consequences [PDF]

arXiv, 2020
In this paper, we introduce the notion of an Evertse-Ferretti Nevanlinna constant and compare it with the birational Nevanlinna constant introduced by the authors in a recent joint paper. We then use it to recover several previously known results. This includes a 1999 example of Faltings from his Baker's Garden article.
arxiv