%0 Journal Article %T 某类包含Hurwitz-Lerch Zeta函数的三阶积分算子<br>CERTAIN THIRD-ORDER INTEGRAL OPERATOR INVOLVING THE HURWITZ-LERCH ZETA FUNCTION %A 作者 %A 王小元 %A 王知人 %A 温胜男 %A 尹枥 %J 数学杂志 %D 2018 %X 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.<br>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 %K 解析函数 亚纯函数 微分从属 微分超从属 Hurwitz-Lerch Zeta函数< %K br> %K analytic functions meromorphic function differential subordination differential superordination Hurwitz-Lerch Zeta function %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180611&flag=1