|
| 摘要: |
| 本文中我们介绍研究了与 Dziok-Srivastava 算子有关的解析双单值类
$\sum$ 的两个拟从属子类
$\mathcal{QH_{\sum}}^{\alpha_{1},\cdots,\alpha_{q}}_{
\beta_{1},\cdots,\beta_{s}}(\eta;\phi)$ 和
$\mathcal{QS_{\sum}}^{\alpha_{1},\cdots,\alpha_{q}}_{
\beta_{1},\cdots,\beta_{s}}(\tau,\mu,\lambda,\gamma;\phi)$， 如同
Fekete-Szeg\"{o} 泛函问题一致也给出了相应系数 $a_2$ 和 $a_3$
的有界估计. 另外, 与某些早期已经知道结果的因果关系和联系也将得到. |
| 关键词: Fekete-Szeg\"{o} 问题 双单值函数 Gaussian 超几何函数 Dziok-Srivastava 算子 拟从属 |
| DOI： |
| 分类号:O174.51, O177.2 |
| 基金项目:国家自然科学地区基金项目 |
|
| Fekete-Szeg\"{o} problems for several quasi-subordination subclasses of analytic and bi-univalent functions associated with the Dziok-Srivastava operator |
|
longpinhong
|
| Abstract: |
| In the article
we will introduce and investigate two quasi-subordination
subclasses $\mathcal{QH_{\sum}}^{\alpha_{1},\cdots,\alpha_{q}}_{
\beta_{1},\cdots,\beta_{s}}(\eta;\phi)$ and
$\mathcal{QS_{\sum}}^{\alpha_{1},\cdots,\alpha_{q}}_{
\beta_{1},\cdots,\beta_{s}}(\tau,\mu,\lambda,\gamma;\phi)$ of the
function class $\sum$ of analytic and bi-univalent functions
associated with the Dziok-Srivastava operator, and give the
corresponding bound estimates of the coefficient $a_2$ and $a_3$
as well as Fekete-Szeg\"{o} functional problems. Besides, the
consequences and connections to some earlier known results would
be obtained. |
| Key words: Fekete-Szeg\"{o} problem Bi-univalent function Gaussian hypergeometric function, Dziok-Srivastava operator quasi-subordination |
