f“f”的值分布

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1995-07-20 DOI:10.1360/YA1995-38-7-789

Chen Huaihui, Fang Mingliang

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引用次数: 17

摘要

Hayman猜想已被完全证明:如果f(z)是平面上的超越亚纯函数，则ff'无限频繁地假设每一个有限非零复值。在此基础上，推导了一类亚纯函数正态性的有关判据，并给出了有关角分布的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The value distribution of f"f'

Hayman's conjecture has been completely proved: if f(z) is a transcendental meromorphic function in the plane, then ff' assumes every finite non-zero complex value infinitely often. Furthermore, some related criteria have been deduced for normality of a family of meromorphic functions and results on the angular distribution have been given.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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