某类包含Hurwitz-Lerch Zeta函数的三阶积分算子
CERTAIN THIRD-ORDER INTEGRAL OPERATOR INVOLVING THE HURWITZ-LERCH ZETA FUNCTION

本文研究了包含Hurwitz-Lerch Zeta函数的积分算子Ws，bf（z）的关于亚纯函数的微分从属与微分超从属性质.利用三阶微分从属与微分超从属的定义，通过选取适当的允许函数，得到了由算子Ws，bf（z）定义的亚纯函数类的某些三阶微分从属和微分超从属结果，进而得到Sandwich型双从属结果，推广了二阶微分从属与超从属的相关结果.
In this paper, the properties of the operator Ws, bf(z) involving Hurwitz-Lerch Zeta meromorphic function are investigated. By using the definition of third-order differential subordination and differential superordination, and choosing suitable admissible functions, we derive some results with third-order differential subordination and differential superordination associated with the operator Ws, bf(z). Furthermore, the Sandwich-type results are also considered, which extends the related work of second-order differential subordination and differential superordination results