Results 11 to 20 of about 493 (94)
A property of the derivative of an entire function [PDF]
Ann. Acad. Sci. Fenn. Math. 37 (2012), 301-307, 2011 We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set.
Walter Bergweiler, A. Eremenko
arxiv +3 more sources
Sub-normal Solutions to Painleve's Second Differential Equation [PDF]
, 2011 In a recent paper, Aimo Hinkkanen and Ilpo Laine proved that the transcendental solutions to Painleve's second differential equation w"=a+zw+w^3 have either order of growth 3 or else 3/2.
Steinmetz, Norbert
core +2 more sources
Geometric theory of meromorphic functions [PDF]
, 2021 This is a survey of results on the following problem. Let X be a simply connected Riemann surface spread over the Riemann sphere. How are the properties of the uniformizing function of this surface related to the geometric properties of the surface? 2000
Alexandre Eremenko
semanticscholar +1 more source
Journal of Classical Analysis, 2021 In this paper, we intend to find out some inequalities relating to generalized (α ,β) relative order, generalized (α ,β) relative type and generalized (α ,β) relative weak type of an entire function f with respect to an entire function g when generalized
T. Biswas, C. Biswas
semanticscholar +1 more source
Open Mathematics, 2023 Let ff be a transcendental entire function of finite order with a Picard exceptional value β∈C\beta \in {\mathbb{C}}, q∈C\{0,1}q\in {\mathbb{C}}\setminus \left\{0,1\right\} and cc are complex constants. The authors prove that Dq,cf(z)−af(z)−a=aa−β,\frac{{
Zhang Xiaomei, Wu Zhaojun
doaj +1 more source
Relative Order and Relative Type Oriented Growth Properties of Generalized Iterated Entire Functions
Journal of Mathematics and Applications, 2020 The main aim of this paper is to study some growth properties of generalized iterated entire functions in the light of their relative orders, relative types and relative weak types. AMS Subject Classification: 30D20, 30D30, 30D35.
T. Biswas
semanticscholar +1 more source
Unicity of meromorphic functions and their linear differential polynomials
Journal of Inequalities and Applications, 2014 This paper studies the unicity of meromorphic functions that share an arbitrary nonzero small function with their general linear differential polynomials. The result derived here extends one by Brück in 1996 and others.MSC:30D35, 30D30.
Chenguang Wang, Qi Han
semanticscholar +2 more sources
Corrigendum to "The holomorphic flow of the Riemann Zeta function" [PDF]
, 2007 Theorem 4.5 of [2], describing the topological type of the zeros of the flow s˙ = ζ(s) at reflected points off the critical line, claiming they were the same, contains an error.
Barnett, A. Ross, Broughan, Kevin A.
core +2 more sources
On meromorphic functions for sharing two sets and three sets in m-punctured complex plane
Open Mathematics, 2016 In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be ...
Xu Hong-Yan, Zheng Xiu-Min, Wang Hua
doaj +1 more source
Journal of Inequalities and Applications, 2014 In view of the Nevanlinna theory in the angular domain, we study the exceptional values of meromorphic functions in the Borel direction and also establish some inequalities on the exceptional values of meromorphic functions in the Borel direction.
H. Xu, Zhaojun Wu, J. Tu
semanticscholar +2 more sources