Results 1 to 10 of about 18,386,226 (307)
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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Asymptotic Functions of Entire Functions [PDF]
Computational Methods and Function Theory, 2021 If $f$ is an entire function and $a$ is a complex number, $a$ is said to be an asymptotic value of $f$ if there exists a path $ $ from $0$ to infinity such that $f(z) - a$ tends to $0$ as $z$ tends to infinity along $ $. The Denjoy--Carleman--Ahlfors Theorem asserts that if $f$ has $n$ distinct asymptotic values, then the rate of growth of $f$ is at ...
Hinkkanen, Aimo +2 more
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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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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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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
semanticscholar +1 more source
Entire Function Sharing Entire Function with its First Derivative
Kragujevac Journal of Mathematics, 2022 In this paper, we use the idea of normal family to investigate the problem of entire function that share entire function with its first derivative.
Majumder, Sujoy, Sarkar, Jeet
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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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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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Minimal growth of entire functions with prescribed zeros outside exceptional sets
Математичні Студії, 2022 Let $h$ be a positive continuous increasing to $+\infty$ function on $\mathbb{R}$.
I. Andrusyak, P. Filevych, O. Oryshchyn
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Fluctuations of the Increment of the Argument for the Gaussian Entire Function [PDF]
Journal of statistical physics, 2016 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, M. Sodin
semanticscholar +1 more source