与Q_(α,β)算子相关的多叶函数从属关系的研究

Study on the Subordination of Multivalent FunctionsAssociated with Q_(α,β)Operator

利用前人创造的Q_(α,β)积分算子,将其作用在p叶解析函数上,得到一个新的多叶函数的高阶导数.借助著名的引理,分别从多个微分从属条件出发,推导出新函数与单叶函数的微分从属关系,并得出微分从属的最佳控制函数等.

By applying the Q_(α,β)integral operator created by predecessor to the p-valent analytic functions,a new higher-order derivative of the multivalent functions is obtained.With the help of the famous lemmas,the differential subordination relationship between the new function and univalent function is derived from several differential subordination conditions,and the best dominant function of the differential subordination is obtained.