Results 1 to 10 of about 13,324,072 (293)
Fractal and Fractional, 2023 The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura +2 more
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Fluctuations of the Increment of the Argument for the Gaussian Entire Function [PDF]
Journal of statistical physics, 2017 The Gaussian entire function is a random entire function, characterised by a certain invariance with respect to isometries of the plane. We study the fluctuations of the increment of the argument of the Gaussian entire function along planar curves.
Jeremiah Buckley, Mikhail Sodin
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Uniqueness on entire functions and their nth order exact differences with two shared values [PDF]
Open Mathematics, 2020 Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δcnf(z){\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z).
Chen Shengjiang, Xu Aizhu
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ON FINDING THE RESULTANT OF TWO ENTIRE FUNCTIONS
Проблемы анализа, 2020 Using Newton’s recurrent formulae, we find the product of values of an entire function of one variable in zeroes of another entire function. This allows to answer whether they have common zeros.
A. M. Kytmanov, E. K. Myshkina
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On the set where the iterates of an entire function are neither escaping nor bounded [PDF]
, 2016 For a transcendental entire function f, we study the set of points BU(f) whose iterates under f neither escape to infinity nor are bounded. We give new results on the connectedness properties of this set and show that, if U is a Fatou component that ...
John W. Osborne, David J. Sixsmith
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On the growth of entire solution of a nonlinear differential equation [PDF]
Mathematica Bohemica, 2020 In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
Indrajit Lahiri, Shubhashish Das
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Thermal Science, 2023 In this article we consider an even entire function of order one as the solution of the classical wave equation in one-dimensional space. We suggest a conjecture that this function has only purely real zeros in the entire complex plane.
Xiao-jun Yang +2 more
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On the distribution of unique range sets and its elements over the extended complex plane
Математичні Студії, 2023 In the paper, we discussed the distribution of unique range sets and its elements over the extended complex plane from a different point of view and obtained some new results regarding the structure and position of unique range sets.
S. Mallick
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Uniqueness of meromorphic functions concerning fixed points
AIMS Mathematics, 2022 In this paper, we study a uniqueness question of meromorphic functions concerning fixed points and mainly prove the following theorem: Let $ f $ and $ g $ be two nonconstant meromorphic functions, let $ n, k $ be two positive integers with $ n > 3k+10.
Jinyu Fan, Mingliang Fang , Jianbin Xiao
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Normality and uniqueness of homogeneous differential polynomials
Математичні Студії, 2023 The primary goal of this work is to determine whether the results from [19, 20] still hold true when a differential polynomial is considered in place of a differential monomial.
R. S. Dyavanal, S. B. Kalakoti
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