Results 1 to 10 of about 5,061,991 (285)
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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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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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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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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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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