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Start Over Subject entire functions

1. Existence of entire solutions of nonlinear difference equations

Creator:
Liu, Kai, Yang, Lianzhong, and Liu, Xinling
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
entire functions, difference equations, and finite order
Language:
English
Description:
In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different forms.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial

Creator:
Li, Xiao-Min and Yi, Hong-Xun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
entire functions, order of growth, shared values, and uniqueness theorems
Language:
English
Description:
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public