Results 1 to 10 of about 126 (60)
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
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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
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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
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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
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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
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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
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Analytic Properties of the Apostol-Vu Multiple Fibonacci Zeta Functions
Discussiones Mathematicae - General Algebra and Applications, 2020 In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions ζAVF,k(s1,…,sk,sk+1)=∑1 ...
Dutta Utkal Keshari, Ray Prasanta Kumar
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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
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Value distribution for difference operator of meromorphic functions with maximal deficiency sum
Journal of Inequalities and Applications, 2013 The main purpose of this paper is to investigate the relationship between the characteristic function of a meromorphic function f(z) with maximal deficiency sum and that of the exact difference Δcf=f(z+c)−f(z).
Zhaojun Wu
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Uniqueness of meromorphic functions sharing two values
Journal of Inequalities and Applications, 2012 In this article, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or having fixed points. Our results extend the corresponding results of Fang and Hua, Yang and Hua, and Fang and Qiu. MSC 2010: 30D35, 30D30.
Yinhong Cao, Xiao-Bin Zhang
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