Results 11 to 20 of about 13,324,072 (293)
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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AIMS Mathematics, 2023 In the value distribution theory of complex analysis, Petrenko's deviation is to describe more precisely the quantitative relationship between $ T (r, f) $ and $ \log M (r, f) $ when the modulus of variable $ |z| = r $ is sufficiently large.
Guowei Zhang
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Two shared set problems in the light of powers of meromorphic functions [PDF]
Surveys in Mathematics and its Applications, 2021 In the paper, we deal the two shared set problems in view of powers of meromorphic functions and find results in the sense of least cardinality. We have also shown the sharpness of our main results.
Sanjay Mallick
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The minimal growth of entire functions with given zeros along unbounded sets
Математичні Студії, 2020 Let $l$ be a continuous function on $\mathbb{R}$ increasing to $+\infty$, and $\varphi$ be a positive function on $\mathbb{R}$. We proved that the condition $$ \varliminf_{x\to+\infty}\frac{\varphi(\ln[x])}{\ln x}>0 $$ is necessary and sufficient in ...
I. V. Andrusyak, P.V. Filevych
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AIMS Mathematics, 2022 In this paper, we mainly investigate the radial distribution of Julia sets of difference operators of entire solutions of complex differential equation $ F(z)f^{n}(z)+P(z, f) = 0 $, where $ F(z) $ is a transcendental entire function and $ P(z, f) $ is a ...
Jingjing Li, Zhigang Huang
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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight
Cubo, 2022 In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight.
Goutam Haldar
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AIMS Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we will establish some theorems about the existence and the forms of entire solutions for several partial differential difference equations (systems) of Fermat type
Hong Yan Xu +3 more
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Connectedness properties of the set where the iterates of an entire function are bounded [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2012 We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. We describe a class of transcendental entire functions for which K(f) is totally disconnected if and only if each component of ...
J. Osborne
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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Multiple interpolation with the fast-growing knots in the class of entire functions and its application [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(k-1)(λn) = bn,k, k ∈ 1, s, n ∈ N, where |λk/λk+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which Mg(r) ≤ c1 exp (
I. Sheparovych
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