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两类微分多项式的Picard例外值
Picard Exceptional Values for Two Differential Polynomials
【摘要】 设f(z)为平面内非常数亚纯函数,本文考虑了形如f ̄nQ[f]为正整数,Q[f]为f的线性齐次微分多项式或f′的多项式)的微分多项式的值分布。推广了W.K.Havman ̄[1]和E.Mues ̄[4]的结果。
【Abstract】 Let f be a non-constant meromorphic function in the plane. In the paper,we consider Picard exceptional values of the form f ̄nQ[f] is a interger and Q[f]is a linearhomogeneous differential polynomial in f or a polynomial in f′) and generaliZe some results ofHavman ̄[1] and Mues ̄[4].
【关键词】 亚纯函数;
代数体函数;
微分多项式;
值分布;
【Key words】 Meromorphic function; Picard exceptional value; differential polynomial;
【Key words】 Meromorphic function; Picard exceptional value; differential polynomial;
- 【文献出处】 数学学报 ,ACTA MATHEMATICA SINICA , 编辑部邮箱 ,1994年06期
- 【分类号】O174.52
- 【被引频次】21
- 【下载频次】76