涉及高阶导数的亚纯函数正规定则

Normal Rules for Meromorphic Functions Involving Higher-Order Derivatives

本文讨论了关于分担值的亚纯函数正规族,在Zalcman-pang引理的基础上,利用分担值的方法,并结合前人的研究,关于和这两种形式IM分担b的正规定则,其中a,b为非零复数,本文将其推广到有关函数f的非零复数bf,cf,得到了两个新的正规定则。

This paper discusses the normal family of meromorphic functions on sharing values, based on the Zalcman-pang lemma, using the method of sharing values, and combined with previous research, the positive rule of IM sharing b in the two forms and , where a and b are non-zero complex numbers, this paper generalizes them to the non-zero complex number bf,cf of the function f, and obtains two new normal rules.