精密的Hayman不等式的推广
Generalization of the Accurate Hayman Inequality
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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。Abstract: The accurateHayman inequality is generalized in this paper based on theNevanlinna 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.
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Key words:
- meromorphic functions /
- functions /
- Hayman inequality
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