关于f^((k))-af^n的零点

On the zeros of f ^((k))-af^n

设 f (z) 为平面内超越亚纯函数 ,a≠ 0 为常数 ,证明了当 n≥ k+3 时 ,f( k) -afn有无穷多个零点 .

Let f(z) be a transcendental meromorphic function in the complex plane, and a≠0 be a constant. In the paper, we shall show if n≥k+3 then f (k)-afn assumes zeros infinitely often.