【摘要】 本文证明了使得ｆ（ｆ￣（４）＋ａｋ－２ｆ￣（ｋ－２）＋…＋ａ。ｆ）只有有限多个零点时具有有限多个极点的亚纯函数ｆ应具有的形式，其中ａｋ－２是多项式，ａｃ０，…，ａｋ－３是有理函数，发展了Ｇ·Ｆｒａｎｋ及Ｓ．ＨｅＩｌｅｒ－ｓｔｅｉｎ的结果［３］。更多还原

【Abstract】 This paper classifies all meromorphic functions f(z) with finitely many poles such that f(f￣(k) +a_K-2f￣(k-2) ... +a.f) has finitely many zeros, where ak-2 is a polynomial , a0 , …ak- 3 are rationalfunctions. This advances a result of G. Frank and S. Hellerstein in [3].更多还原