本文選題：超越亞純函數(shù) + 實零點��； 參考：《上海理工大學(xué)學(xué)報》2017年04期

【摘要】：利用亞純函數(shù)的值分布理論和正規(guī)族理論的基本知識、研究方法及研究成果,在徐成雨、劉曉俊的一個定理基礎(chǔ)上進(jìn)一步考慮例外函數(shù)是有理函數(shù)的情況,得到了如下定理:設(shè)f為復(fù)平面C上的超越亞純函數(shù),若存在M≥0,使f滿足:f=0=〉|z~2f′|≤M;f的零點均為實數(shù);f的極點重級至少為3,則f′-1/z~2有無窮多個零點.
[Abstract]:Using the basic knowledge of meromorphic function value distribution theory and normal family theory, the research methods and results are used to further consider the case that exceptional function is a rational function on the basis of a theorem of Xu Chengyu and Liu Xiaojun. The following theorem is obtained: let f be a transcendental meromorphic function on the complex plane C. if there exists M 鈮，

本文編號：1902857