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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 [email protected], [email protected]
PEIYONG YU
Affiliation:
Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, PR China email [email protected]
*
✉[email protected]
Rights & Permissions [Opens in a new window]

Abstract

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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. 

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).

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