Results 31 to 40 of about 6,503,100 (217)
AIMS Mathematics, 2021 By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
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On meromorphic solutions of certain differential-difference equations
AIMS Mathematics, 2021 In this article, we mainly use Nevanlinna theory to investigate some differential-difference equations. Our results about the existence and the forms of solutions for these differential-difference equations extend the previous theorems given by Wang, Xu ...
Yong Liu, Chaofeng Gao, Shuai Jiang
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Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori [PDF]
Journal für die Reine und Angewandte Mathematik, 2019 We study upper bounds for the counting function of common zeros of two meromorphic functions in various contexts. The proofs and results are inspired by recent work involving greatest common divisors in Diophantine approximation, to which we introduce ...
A. Levin, Julietzu-Yueh Wang
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Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]
Mathematica Bohemica, 2020 This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
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A fundamental theorem for algebroid function in k-punctured complex plane
AIMS Mathematics, 2021 The main purpose of this article is to study the value distribution of algebroid function in the k-punctured complex plane. We establish the second fundamental theorems for algebroid function concerning small algebroid functions in the k-punctured ...
Hong Yan Xu +3 more
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding ...
Shamoyan, R.F.
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Nevanlinna Theory for Jackson Difference Operators and Entire Solutions of q-Difference Equations [PDF]
Analysis Mathematica, 2018 This paper has two purposes. One is to establish a version of Nevanlinna theory based on the historic so-called Jackson difference operator Dqf(z)=f(qz)−f(z)qz−z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
T. Cao, H. Dai, J. Wang
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Characteristic estimation of differential polynomials
Journal of Inequalities and Applications, 2021 In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
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Applied Mathematics in Science and Engineering, 2023 The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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p-adic Nevanlinna Theory outside of a hole
Vietnam Journal of Mathematics, 2017 Alain Escassut, Ta Thi Hoai An
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