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

IF 0.2 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.763
Xiao-Min Li, H. Yi
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引用次数: 2

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.
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与其中一个线性微分多项式共享一个小阶完整函数的整个函数的唯一性
. 我们证明了整个函数与它们的线性微分多项式共享一个更小阶的整个函数的唯一性定理。本文的结果改进了Gundersen-Yang[4]、Chang-Zhu[3]等人给出的相应结果。算例表明本文的计算结果是最好的。
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期刊介绍: Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.
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