精密的Hayman不等式的推广

摘要

在函数值分布论中，有一个重要的Hayman不等式，杨乐证明了精密的Hayman不等式。文中基于Nevanlinna理论对著名的精密Hayman不等式进行了推广，主要是把原不等式中使用的计数函数的常数易为超越整函数，得到另一种形式的Hayman不等式。%The accurate Hayman inequality is generalized in this paper based on the Nevanlinna theory. The constants of the counting function in the original inequality are converted into a transcendental entire function to obtain another form of the Hayman inequality.