亚纯函数的正规族与分担值

Normal Familles and Shared Values of Meromorphic Functions

根据Nevanlinna理论讨论了一族亚纯函数中每个函数与其k(k为任一正整数)阶导数单向分担3个有限复值时的正规性,并举例说明这一结果是精确的.

On the basis of fundamental Nevanlinna theory the problem of normality of meromorphic functions that share three finite complex values with their k-th derivatives （k is any positive integer） is discussed and some examples are provided to show the result is sharp.