Results 11 to 20 of about 4,654,954 (329)

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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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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Radial distributions of Julia sets of difference operators of entire solutions of complex differential equations

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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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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On the entire solutions for several partial differential difference equations (systems) of Fermat type in C²

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, Zu Xing Xuan, Jun Luo, Si Min Liu   +3 more
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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
doaj  

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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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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The lower bound on the measure of sets consisting of Julia limiting directions of solutions to some complex equations associated with Petrenko's deviation

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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