Derivatives of Meromorphic Functions with Multiple Zeros and Elliptic Functions

作     者：Pai YANG Shahar NEVO 

作者机构：Department of Mathematics East China Normal University College of Mathematics Chengdu University of Information Technology Department of Mathematics Bar-Ilan University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第7期

页      面：1257-1278页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Israel Science Foundation (Grant No. 395/2007) 

主　　题：Normal family elliptic function 

摘      要：Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple except finitely many and T（r, h） = 0{T（r, f）} as r → ∞, then f′ = h has infinitely many solutions （including poles）.