文献类型：期刊文献

中文题名：Picard Type Theorems Concerning Certain Small Functions

英文题名：Picard Type Theorems Concerning Certain Small Functions

作者：Pai YANG[1];Lei QIAO[2]

第一作者：Pai YANG

机构：[1]College of Applied Mathematics, Chengdu University of Information Technology;[2]School of of Mathematics and Information Science, He'nan University of Economics and Law

第一机构：College of Applied Mathematics, Chengdu University of Information Technology

年份：2017

卷号：33

期号：9

起止页码：1275-1286

中文期刊名：数学学报：英文版

收录：CSTPCD;;Scopus;CSCD:【CSCD2017_2018】；PubMed;

基金：Supported by the National Natural Science Foundation of China(Grant Nos.11301140,11671191 and 11501367);China Postdoctoral Science Foundation(Grant No.2015M571726);the Project of Sichuan Provincial Department of Education(Grant No.15ZB0172)

语种：英文

中文关键词：Meromorphic 功能；Nevanlinna 理论；Picard 类型定理；

外文关键词：Meromorphic function, Nevanlinna theory, Picard type theorem

摘要：Let f(z) be a meromorphic function in the complex plane, whose zeros have multiplicity at least k + 1(k ≥ 2). If sin z is a small function with respect to f(z), then f^(k)(z)-P(z) sin z has infinitely many zeros in the complex plane, where P(z) is a nonzero polynomial of deg(P(z)) ≠ 1.
Let f（z） be a meromorphic function in the complex plane, whose zeros have multiplicity at least k ＋ 1 （k 〉 2）. If sin z is a small function with respect to f（z）, then f（k） （z） - P（z） sin z has infinitely many zeros in the complex plane, where P（z） is a nonzero polynomial of deg（P（z）） ≠ 1. Keywords Meromorphic function, Nevanlinna theory, Picard type theorem.