亚纯函数多项式的导数

DERIVATIVE OF POLYNOMIALS ON MEROMORPHIC FUNCTIONS

设f（z）是平面上的亚纯函数，P[f]是f的n次常系数多项式，Q[f]是f的微分多项式，满足（r,f）＋（r,）=S（r，f），其中vQ≤n－2，本文考虑P'[f]＋Q的值分布，推广了W.K.Hayman，J.Clunie，E.Mues等人关于整函数的结果，并进一步改进了文[3]的结果。

Let f be a meromorphic funtion with N (r, f) = S(r, f), P[f] be apolynomial in f and Q[f] be a differential polynomial in f. In this paper the value - distribution of differential polynomials of the form P'[f] + Q[f] is studied. The results for entire functions of W. K. Hayman, J. Clunie and E. Mues are extended and improved. and the results for meromorphic functions of Zhang Zhanliang. Li Wei are extended and improved.