一类多叶函数的高阶导数的从属关系

The Subordination of Higher-Order Derivative from a Class of Multivalent Functions

由Q_(α,β)算子和p叶解析函数定义生成多叶函数的高阶导数zQ^((q+1))_(α,β)f(z)/Q^((q))_(α,β)f(z)-p+q+1分别从四个充分条件出发,通过计算推理,并借助引理,得到高阶导数与函数R(z)的微分从属关系.

The higher-order derivative zQ^((q+1))_(α,β)f(z)/Q^((q))_(α,β)f(z)-p+q+1 of multivalent functions is generated by the Q_(α,β)operator and p-valent analytic functions.Starting from four sufficient conditions,the differential subordination relationship between the higher-order derivative and function R(z)is obtained by computational reasoning and lemmas.