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

作　　者：王小元 王知人[1] 温胜男 尹枥[2] WANG Xiao-yuan;WANG Zhi-ren;WEN Sheng-nan;YIN Li(College of Science,Yanshan University,Qinhuangdao 066004,China;Department of Mathematics,Binzhou University,Binzhou 256603,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]滨州学院数学系,山东滨州256603

出　　处：《数学杂志》2018年第6期1057-1065,共9页Journal of Mathematics

基　　金：国家自然科学基金资助(11401041);滨州学院科学基金资助(BZXYL1704)

摘　　要：本文研究了包含Hurwitz-Lerch Zeta函数的积分算子W_(s,b)f(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W_(s,b)f(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 deˉnition of third-order di?erential sub-ordination and di?erential superordination,and choosing suitable admissible functions,we derive some results with third-order di?erential subordination and di?erential superordination associated with the operator Ws;bf(z).Furthermore,the Sandwich-type results are also considered,which extends the related work of second-order di?erential subordination and di?erential superordination results.

关 键 词：解析函数 亚纯函数 微分从属 微分超从属 Hurwitz-Lerch ZETA函数 

分 类 号：O174.51[理学—数学]