【摘要】 用不同的方法证明了定理1:设f(z)为超越亚纯函数,a(≠0)为有穷复数,n(≥2)为正整数.则f+a(f′)n取每个有穷复数无穷多次.该定理已经被方明亮和Zalcman证明,其特殊情形,n≥3,也被叶亚盛得到.更多还原

【Abstract】 In the paper,by the new method we prove Theorem l: Let f be a transcendental meromorphic function,let a be a nonzero finite complex number,and let n(≥2) be a positive integer,then f+a(f ′)n assumes every finite complex number infinitely often.FANG Ming-liang and Zalcman have proved Theorem l and YE Ya-sheng had proved the special cases of Theorem 1,n≥3.更多还原