Proceedings of the 2015 4th International Conference on Computer, Mechatronics, Control and Electronic Engineering

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Entire Function Sharing a Small Function with Its Derivatives

Authors
HuiLiang Zhang, ZongSheng Gao, YueYang Zhang
Corresponding Author
HuiLiang Zhang
Available Online November 2015.
DOI
10.2991/iccmcee-15.2015.17How to use a DOI?
Keywords
Entire functions, Wiman-Valiron theory, Derivatives
Abstract

In this paper, we mainly apply the Wiman-Valiron theory to prove a theorem on growth of a linear differential equation. From this we obtain a uniqueness theorem concerning that a non-constant entire function and its derivative sharing a small entire function.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 4th International Conference on Computer, Mechatronics, Control and Electronic Engineering
Series
Advances in Engineering Research
Publication Date
November 2015
ISBN
10.2991/iccmcee-15.2015.17
ISSN
2352-5401
DOI
10.2991/iccmcee-15.2015.17How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - HuiLiang Zhang
AU  - ZongSheng Gao
AU  - YueYang Zhang
PY  - 2015/11
DA  - 2015/11
TI  - Entire Function Sharing a Small Function with Its Derivatives
BT  - Proceedings of the 2015 4th International Conference on Computer, Mechatronics, Control and Electronic Engineering
PB  - Atlantis Press
SP  - 79
EP  - 85
SN  - 2352-5401
UR  - https://doi.org/10.2991/iccmcee-15.2015.17
DO  - 10.2991/iccmcee-15.2015.17
ID  - Zhang2015/11
ER  -