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

Title:

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

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:feadaaee-ec7f-481f-a0fa-76fb92a97484
uuid:feadaaee-ec7f-481f-a0fa-76fb92a97484

Subject:

entire functions, order of growth, shared values, and uniqueness theorems

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1039-1058

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:4

Harvested from:

CDK

Metadata only:

false