文献类型：期刊文献

英文题名：Derivatives of meromorphic functions and polynomial functions

作者：Yang, Pai[1];Qiao, Lei[2]

第一作者：Yang, Pai

通讯作者：Qiao, L[1]

机构：[1]Chengdu Univ Informat Technol, Coll Appl Math, Chengdu, Peoples R China;[2]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：Chengdu Univ Informat Technol, Coll Appl Math, Chengdu, Peoples R China

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2016

卷号：61

期号：6

起止页码：791-802

外文期刊名：COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

收录：;Scopus(收录号：2-s2.0-84954242139);WOS:【SCI-EXPANDED(收录号:WOS:000377773500005)】；

基金：The first author was supported by China Postdoctoral Science Foundation [No. 2015M571726]; the Project of Sichuan Provincial Department of Education [No. 15ZB0172]; the Scientific Research Foundation of CUIT [No. KYTZ201403]. The second author was supported by the National Natural Science Foundation of China [grant number U1304102], [grant number 11301140].

语种：英文

外文关键词：meromorphic function; quasinormal criterion; Nevanlinna theory

摘要：Let P(not equivalent to 0) be a polynomial, and let f be a transcendental meromorphic function. If all but finitely many zeros of f have multiplicity at least k, and there exists M > 0 such that vertical bar f((k)) (z)vertical bar <= M whenever f (z) = 0, then f((k)) - P has infinitely many zeros in the complex plane.