与对数导数相关的正规定则  

Normal Criterion Related to LogarithmicDerivatives

作　　者：古丽术热•吐尔逊 杨锦华[1] 

机构地区：[1]新疆师范大学数学科学学院,新疆 乌鲁木齐

出　　处：《理论数学》2024年第7期173-180,共8页Pure Mathematics

摘　　要：文章利用 Zalcman-Pang 引理,结合对数导数函数族正规,对满足条件 f′(z) − a(z)fk(z) ≠ b(z) 的亚纯函数族的正规性进行研究。本文得到当 k = 2 且例外函数 a(z)、b(z) 均为全纯函数时,在函数族零点、极点均重级的条件下,亚纯函数族是正规的。This paper studies the regularity of the meromorphic function family satisfying thecondition f′(z) − a(z)fk(z) ≠ b(z) by using the P-Z lemma and combining the normalization of logarithmic derivative family. This paper obtains that when k = 2 and omitted functions a(z) and b(z) are holomorphic functions, under the condition of zero and pole weight of the function family, the meromorphic function family is normal.

关 键 词：亚纯函数 正规定则 对数导数 

分 类 号：G63[文化科学—教育学]