Results 51 to 60 of about 929 (107)

Singular direction of meromorphic functions with finite logarithmic order

Open Mathematics
In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
doaj   +1 more source

Complete vector fields on (C-0)^n [PDF]

arXiv, 1998
We prove necessary and sufficient conditions for completeness of a rational vector field on C^n minus n hyperplanes in general position (n>1).
arxiv  

Une demonstration du theoreme de recouvrement de surfaces d'Ahlfors [PDF]

arXiv, 2005
We give a short proof of Ahlfors' theorem on covering surfaces.
arxiv  

Uniqueness of Dirichlet series in the light of shared set and values

Acta Universitatis Sapientiae: Mathematica, 2023
In this article, we have studied the uniqueness problem of Dirichlet series, which is convergent in a right half-plane and having analytic continuation in the complex plane as a meromorphic function sharing some sets and values.
Banerjee Abhijit, Kundu Arpita
doaj   +1 more source

Non-real zeros of linear differential polynomials [PDF]

arXiv, 2007
Lower bounds are given for the number of non-real zeros of a second order linear differential polynomial with constant coefficients in a real entire function with finitely many non-real zeros.
arxiv  

The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles

Open Mathematics, 2019
The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference ...
Xu Hong Yan, Zheng Xiu Min
doaj   +1 more source

Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball 𝔹m(R0) in ℂm (0 < R0 +∞). Our first aim in this paper is to study the algebraic dependence problem of differentiably meromorphic mappings.
Quang Si Duc
doaj   +1 more source

A Corollary of Riemann Hypothesis [PDF]

arXiv, 2011
This paper use the results of the value distribution theory, got a significant conclusion by Riemann ...
arxiv  

First order algebraic differential equations of genus zero [PDF]

, 2016
We utilise recent results about the transcendental solutions to Riccati differential equations to provide a comprehensive description of the nature of the transcendental solutions to algebraic first order differential equations of genus zero.
arxiv   +1 more source

Uniqueness theorems related to weighted sharing of two sets

Acta Universitatis Sapientiae: Mathematica, 2018
Using the notion of weighted sharing of sets, we study the uniqueness problem of meromorphic functions sharing two finite sets. Our results are inspired from an article due to J. F. Chen (Open Math., 15 (2017), 1244–1250).
Sahoo Pulak, Karmakar Himadri
doaj   +1 more source