南阳师范学院学报2025，Vol.24Issue(3)：22-27,6.
涉及一类微分多项式的函数族的正规定则
Regarding the normality criteria for a family of functions of a class of differential polynomials
摘要
Abstract
This paper discusses a set of normality criteria for a family of holomorphic functions involving differen-tial polynomials.Let F be a family of holomorphic functions in a domain D,let a(z)(≢0),a1(z)and b(z)be holomorphic functions in the domain D,Where for each function f∈ F and positive integer k and k≥3,it satis-fies that f′(z)+a1(z)f(z)-a(z)fk(z)-b(z)has at most one zero in the domain D(ignoring multiplicity),then F is normal in D.This conclusion extends the existing normal criterion.关键词
全纯函数/正规定则/微分多项式Key words
holomorphic function/normal criterion/differential polynomial分类
数学引用本文复制引用
张泽平,杨锦华..涉及一类微分多项式的函数族的正规定则[J].南阳师范学院学报,2025,24(3):22-27,6.基金项目
国家自然科学基金项目(12061077 （）
11961068) （）
新疆维吾尔自治区自然科学基金项目(2022D01A217) （2022D01A217）
