Derivatives of Meromorphic Functions with Multiple Zeros and Elliptic Functions  

作　　者：Pai YANG Shahar NEVO 

机构地区：[1]Department of Mathematics, East China Normal University [2]College of Mathematics, Chengdu University of Information Technology [3]Department of Mathematics, Bar-Ilan University

出　　处：《Acta Mathematica Sinica,English Series》2013年第7期1257-1278,共22页数学学报（英文版）

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

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）.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）.

关 键 词：Normal family elliptic function 

分 类 号：O174.52[理学—数学]