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QUANTITATIVE PROPERTIES OF MEROMORPHIC SOLUTIONS TO SOME DIFFERENTIAL-DIFFERENCE EQUATIONS

Part of: Entire and meromorphic functions, and related topics Differential equations in the complex domain Functional-differential and differential-difference equations

Published online by Cambridge University Press:  26 December 2018

QIONG WANG ,
QI HAN Open the ORCID record for QI HAN [Opens in a new window]  and
PEICHU HU
QIONG WANG
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, PR China Department of Mathematics, University of California, Irvine, CA 92697, USA email qiongwangsdu@126.com
QI HAN*
Affiliation:
Department of Mathematics, Texas A&M University, San Antonio, TX 78224, USA email qi.han@tamusa.edu
PEICHU HU
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, PR China email pchu@sdu.edu.cn
*
✉qi.han@tamusa.edu
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Abstract

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We investigate several quantitative properties of entire and meromorphic solutions to some differential-difference equations and generalised delay differential-difference equations. Our results are sharp in a certain sense as illustrated by several examples.

Keywords

differential-difference equationsdelay differential-difference equationsPainlevé equationsentire and meromorphic solutions

MSC classification

Primary: 39B32: Equations for complex functions
Secondary: 30D35: Distribution of values, Nevanlinna theory 34K99: None of the above, but in this section 34M05: Entire and meromorphic solutions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 2 , April 2019 , pp. 250 - 261
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

This work was partially supported by the NSF of China (grant nos. 11461070, 11271227), PCSIRT (no. IRT1264), and the Fundamental Research Funds of Shandong University (no. 2017JC019).

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