Results 261 to 270 of about 1,567,212 (302)

Uniqueness of entire function sharing a small function with its derivative

open access: yesJournal of Mathematical Analysis and Applications, 2010
This paper is devoted to studying the relationship between an entire function and its derivative when they share one small function. We generalize some previous results of Gundersen and Yang [G. Gundersen, L.Z. Yang, Entire functions that share one value
Jun Wang
exaly   +2 more sources

Entire functions that share a small function with their derivatives

open access: yesJournal of Mathematical Analysis and Applications, 2009
Let f be an entire function of finite order and a an entire function of order less than f's. If f−a and f′−a have the same zeros with the same multiplicities, then f′−a≡c(f−a) for some non-zero constant ...
Jianming Chang
exaly   +2 more sources

Value sharing of an entire function and its derivatives

open access: yesJournal of the Mathematical Society of Japan, 1999
In this paper, when an entire function f and the linear combination of its derivatives L(f) with small functions as its coefficients share one value CM and another value IM is studied.
Chung-Chun Yang
exaly   +1 more source

On a class of entire matrix function equations

open access: yesLinear Algebra and Its Applications, 2007
This paper treats a class of linear entire matrix function equations which appear naturally in the study of Kreıˇn orthogonal matrix functions.
I Gohberg, M A Kaashoek, L Lerer
exaly   +2 more sources

On the Periodicity of Entire Functions

Results in Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lü, Weiran, Zhang, Xiaoxue
openaire   +2 more sources

Entire functions that share a small function with its derivative

open access: yesJournal of Mathematical Analysis and Applications, 2007
In this paper, by studying the properties of meromorphic functions which have few zeros and poles, we find all the entire functions f(z) which share a small and finite order meromorphic function a(z) with its derivative, and f(n)(z)−a(z)=0 whenever f(z ...
Wenjie Wang
exaly   +2 more sources

An entire function and its derivatives sharing a polynomial

open access: yesJournal of Mathematical Analysis and Applications, 2007
In this paper, we study the growth of solutions of a first-order linear differential equation and that of a second-order linear differential equation. From this we obtain some uniqueness theorems of a nonconstant entire function and its first derivative ...
Hong-Xun Yi
exaly   +2 more sources

Entire Functions

open access: yes, 1966
Entire Functions focuses on complex numbers and the algebraic operations on them and the basic principles of mathematical analysis.The book first elaborates on the concept of an entire function, including the natural generalization of the concept of a ...
Markushevich, A I
openaire   +2 more sources

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