Results 81 to 90 of about 6,490,162 (222)

Value distribution and potential theory

open access: yes, 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

open access: yesElectronic 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  

Uniqueness of shift and derivatives of meromorphic functions

open access: yesМатематичні Студії
This paper addresses the uniqueness problem concerning the j-th derivative of a meromorphic function $f(z)$ and the k-th derivative of its shift, $f(z+c),$ where $j,k$ are integers with $0\leq ...
D. C. Pramanik, A. Sarkar
doaj   +1 more source

Nevanlinna domains with large boundaries

open access: yes, 2018
We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points can be of any Hausdorff dimension between $1$ and $2$.
Belov, Yurii   +2 more
core  

The Error Term in Nevanlinna Theory

open access: yesDuke Mathematical Journal, 1988
In the 60th, the author conjectured that the Roth's theorem could be improved of an inequality of some type of order \(1+\epsilon\) of log q. He deals here with the Stoll-Carlson-Griffiths theorem in higher dimensions and discusses the error term.
openaire   +2 more sources

Non-linear difference polynomials sharing a polynomial with finite weight

open access: yesRatio Mathematica
The uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore   +1 more
doaj   +1 more source

Value distribution theory of Nevanlinna

open access: yesJournal of Physics: Conference Series, 2020
Abstract In the field of research, a century old value distribution theory of Nevanlinna is still alive. It contains a broad range of implementations inside and outside a function theory. It is the study to speculate different values by complex function.
openaire   +1 more source

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