| 由$q$-积分算子定义的某些亚纯函数类的Fekete-Szeg\"{o}问题 |
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| 引用本文： | 汤获,H. M. ZAYED,A. O. MOSTAFA,M. K. AOUF.由$q$-积分算子定义的某些亚纯函数类的Fekete-Szeg\"{o}问题[J].数学研究及应用,2018,38(3):236-246. |
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| 作者姓名： | 汤获 H. M. ZAYED A. O. MOSTAFA M. K. AOUF |
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| 作者单位： | 赤峰学院数学与统计学院, 内蒙古 赤峰 024000,Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt,Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt,Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt |
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| 基金项目： | 国家自然科学基金项目(Grant Nos.11561001, 11271045), 内蒙古高校青年科技英才支持计划资助项目 (Grant No.NJYT-18-A14), 内蒙古自然科学基金项目(Grant Nos.2010MS0117; 2014MS0101; 2017MS0113), 内蒙古高等学校科学研究项目(Grant Nos.NJZY16251, NJZY17300, NJZY17301, NJZY18217). |
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| 摘 要： | 本文首先引入满足如下条件$$-\frac{qzD_{q}f(z)}{f(z)}\prec \varphi (z)$$和$$\frac{-(1-\frac{\alpha }{q})qzD_{q}f(z)+\alpha qzD_{q}zD_{q}f(z)]}{(1-\frac{\alpha}{q})f(z)-\alpha zD_{q}f(z)}\prec \varphi (z)~(\alpha \in\mathbb{C}\backslash (0,1],\ 0
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| 关 键 词： | 解析函数 亚纯函数 Fekete-Szeg\"{o}问题 $q$-积算子 $q$-Bessel函数 |
| 收稿时间： | 2017/4/26 0:00:00 |
| 修稿时间： | 2018/3/23 0:00:00 |
Fekete-Szeg\"{o} Problems for Certain Classes of Meromorphic Functions Using $q$-Derivative Operator |
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| Huo TANG,H. M. ZAYED,A. O. MOSTAFA and M. K. AOUF.Fekete-Szeg\"{o} Problems for Certain Classes of Meromorphic Functions Using $q$-Derivative Operator[J].Journal of Mathematical Research with Applications,2018,38(3):236-246. |
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| Authors: | Huo TANG H M ZAYED A O MOSTAFA and M K AOUF |
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| Institution: | School of Mathematics and Statistics, Chifeng University, Inner Mongolia $024000$, P. R. China,Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt,Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt and Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt |
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| Abstract: | In this paper, we introduce two subclasses $\Sigma _{q}^{\ast }(\varphi )$ and\ $\Sigma _{q,\alpha }^{\ast }(\varphi )$ of meromorphic functions $f(z)$ for which $\frac{qzD_{q}f(z)}{f(z)}\prec \varphi (z)$ and $$\frac{-(1-\frac{\alpha }{q})qzD_{q}f(z)+\alpha qzD_{q}zD_{q}f(z)] }{(1-\frac{\alpha }{q})f(z)-\alpha zD_{q}f(z)}\prec \varphi (z),\ \ \alpha \in \mathbb{C}\backslash (0,1],\ 0
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| Keywords: | analytic function meromorphic function Fekete-Szeg\"{o} problem $q$-derivative operator $q$-Bessel function |
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