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| 摘要: |
| 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. |
| 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 |
| DOI： |
| 分类号:O174.51 |
| 基金项目:国家自然科学基金资助（11401041）；滨州学院科学基金资助（BZXYL1704）. |
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| CERTAIN THIRD-ORDER INTEGRAL OPERATOR INVOLVING THE HURWITZ-LERCH ZETA FUNCTION |
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WANG Xiao-yuan,WANG Zhi-ren,WEN Sheng-nan,YIN Li
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| Abstract: |
| 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. |
| Key words: analytic functions meromorphic function differential subordination differential superordination Hurwitz-Lerch Zeta function |
