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http://dx.doi.org/10.5666/KMJ.2016.56.3.763

Uniqueness of Entire Functions that Share an Entire Function of Smaller Order with One of Their Linear Differential Polynomials  

Li, Xiao-Min (Department of Mathematics, Ocean University Of China)
Yi, Hong-Xun (Department of Mathematics, Shandong University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 763-776 More about this Journal
Abstract
We prove a uniqueness theorem of entire functions sharing an entire function of smaller order with their linear differential polynomials. The results in this paper improve the corresponding results given by Gundersen-Yang[4], Chang-Zhu[3], and others. Some examples are provided to show that the results in this paper are best possible.
Keywords
Entire functions; Shared values; Order of growth; Differential polynomials; Uniqueness theorems;
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