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A NOTE ON THE PERIODICITY OF ENTIRE FUNCTIONS

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  07 February 2019

KAI LIU Open the ORCID record for KAI LIU [Opens in a new window]  and
PEIYONG YU Open the ORCID record for PEIYONG YU [Opens in a new window]
KAI LIU*
Affiliation:
Department of Mathematics,Nanchang University, Nanchang, Jiangxi, 330031, PR China email liukai418@126.com, liukai@ncu.edu.cn
PEIYONG YU
Affiliation:
Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, PR China email yupei_2000@163.com
*
✉liukai418@126.com
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Abstract

We give some sufficient conditions for the periodicity of entire functions based on a conjecture of C. C. Yang, using the concepts of value sharing, unique polynomial of entire functions and Picard exceptional value.

Keywords

periodic functionentire functionvalue sharing

MSC classification

Primary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 2 , October 2019 , pp. 290 - 296
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

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Footnotes

This work was partially supported by the NSFC (No. 11661052), the NSF of Jiangxi (No. 20161BAB211005) and the outstanding youth scientist foundation plan of Jiangxi (No. 20171BCB23003).

References

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