Results 11 to 20 of about 66 (66)
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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A class of gap series with small growth in the unit disc
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 29-40, 2002., 2002 Let β > 0 and let α be an integer which is at least 2. If f is an analytic function in the unit disc D which has power series representation f(z)=∑k=0∞ak zkα, limsupk→∞ (log+|ak|/logk) = α(1 + β), then the first author has proved that f is unbounded in every sector {z ∈ D : Φ − ϵ < argz < Φ + ϵ, for ϵ > 0}.
L. R. Sons, Zhuan Ye
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Open Mathematics, 2023 Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui +3 more
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Further study on the Brück conjecture and some non-linear complex differential equations [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation.
Dilip Chandra Pramanik, Kapil Roy
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 425-427, 2001., 2001 We prove that Mues′ conjecture holds for the second‐ and higher‐order derivatives of a square and higher power of any transcendental meromorphic function.
Indrajit Lahiri
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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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Value distribution of certain differential polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 83-91, 2001., 2001 We prove a result on the value distribution of differential polynomials which improves some earlier results.
Indrajit Lahiri
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A note on a result of Singh and Kulkarni
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 285-288, 2000., 2000 We prove that if f is a transcendental meromorphic function of finite order and ∑a≠∞δ(a, f) + δ(∞, f) = 2, then K(f(k))=2k(1−δ(∞,f))1+k−kδ(∞,f) , where K(f(k))=limr→∞N(r,1/f(k))+N(r,f(k))T(r,f(k)) This result improves a result by Singh and Kulkarni.
Mingliang Fang
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Open Mathematics, 2020 In this article, meromorphic exact solutions for the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (gCBS) equation are obtained by using the complex method.
Aminakbari Najva, Gu Yongyi, Yuan Wenjun
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Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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