Results 1 to 10 of about 231 (38)
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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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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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.
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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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Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]
, 2003 19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
Barrios, Dolores +2 more
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Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]
, 2012 We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko +26 more
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Differential polynomials of L-functions with truncated shared values
Open Mathematics, 2019 In this paper, by using the idea of truncated counting functions, we study the uniqueness of transcendental meromorphic functions and L-functions whose certain nonlinear differential polynomials share one finite nonzero value.
Zhu Wan-Qiong, Chen Jun-Fan
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Hayman's classical conjecture on some nonlinear second order algebraic ODEs [PDF]
, 2015 In this paper, we study the growth, in terms of the Nevanlinna characteristic function, of meromorphic solutions of three types of second order nonlinear algebraic ordinary differential equations.
Conte, Robert +2 more
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Uniqueness theorems for L-functions in the extended Selberg class
Open Mathematics, 2018 In this paper, we obtain uniqueness theorems of L-functions from the extended Selberg class, which generalize and complement some recent results due to Li, Wu-Hu, and Yuan-Li-Yi.
Hao Wen-Jie, Chen Jun-Fan
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Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
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