关于f(k)f-a的零点

On the Zeros of f(k)f-a

中文关键词:  整函数  Picard例外值  Nevanlinna理论

英文关键词:entire function  Picard exceptional value  nevanlinna theory.

中文摘要:

      本文部分证明了［１］中的一个猜测：设ｆ（ｚ）为开平面上有穷级的超越整函数，ｋ为非负整数，则ｆ^(k)ｆ仅可能有的Ｐｉｃａｒｄ例外值是０．

英文摘要:

      In this paper, we partly prove a conjecture posed in . Let f(z) be a transcendental entire functions with finite order in C, and let k be a nonnegative integer. Then f^(k)f has no other Picard exceptional value except possibly zero.