正规族与Picard值

Normality and Picard Values

文章的主要结果:设F是区域D内的亚纯函数族且k(kE 2),n是正整数,任意f∈F都有f k与(f k)'分担非零复数a,则F在D内正规.同时还研究了f n+af(k)的值分布.

The paper derives the following result：Let F be a family of meromorphic fuctions in D.Suppose that a（a≠0） is a complex number and that n,k（k≥2）are two positive integers.If f^k and （f^k）＇ share a for each f∈F,then F is normal in D.And the raluse distribution of f^n＋af^（k） are discussed.