On the Zeros of (f^((k)))~nf-a  

作　　者：杨重骏 杨乐 王跃飞 

机构地区：[1]Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong [2]Institute of Mathematics, Academia Sinica, Beijing 100080, PRC

出　　处：《Chinese Science Bulletin》1994年第8期617-621,共5页

基　　金：Project with authors partially supported by a U.P.G.C. grant, Hong Kong, the Croucher Foundation and Tianyuan Foundation, the NPDF grant and Academia Sinica, respectively.

摘　　要：Let f denote a transcendental entire function. A complex value a is said to be aPicard value of f,iff f（z）-a has at most finitely many zeros.As a result of severalstudies （for instance, Refs. [1-5]） on the question of possible Picardvalue of f and its derivatives, or some differential polynomials of f of specialforms, it has been shown that zero is the only possible Picard value of fⁿf ′withn≥1. In this note we shall study possible Picard values of (f^kⁿf with k≥1

关 键 词：entire function PICARD VALUE DIFFERENTIAL polynomial. 

分 类 号：O174[理学—数学]