Results 21 to 30 of about 493 (94)
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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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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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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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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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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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
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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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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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Some results on q-difference equations
Advances in Differential Equations, 2012 In this paper, we consider the q-difference analogue of the Clunie theorem. We obtain there is no zero-order entire solution of fn(z)+(∇qf(z))n=1 when n≥2; there is no zero-order transcendental entire solution of fn(z)+P(z)(∇qf(z))m=Q(z) when n>m≥0; and ...
Junchao Zhang +3 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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