由广义微分算子定义的某些解析函数类的优化性质

Majorization Properties for Certain Classes of Analytic Functions Involving a Generalized Differential Operator

中文关键词:  解析函数  星象函数  $\beta$螺旋函数  从属  优化性质  微分算子.

英文关键词:analytic functions  starlike functions  $\beta$-spiral functions  subordination  majorization property  differential operator.

中文摘要:

      本文首先引入了由广义微分算子定义的某些$p$叶解析函数新子类$S_{p,q,\lambda}^{m,j,l}[A,B;\gamma]$ 和 $H_{p,q,\lambda}^{m,j,l}(\alpha,\beta)$, 然后研究了该子类的优化性质, 所得结果推广了某些已知结论.

英文摘要:

      In this paper, we introduce new subclasses $S_{p,q,\lambda}^{m,j,l}[A,B;\gamma]$ and $H_{p,q,\lambda}^{m,j,l}(\alpha,\beta)$ of certain p-valent analytic functions defined by a generalized differential operator. Majorization properties for functions belonging to the classes $S_{p,q,\lambda}^{m,j,l}[A,B;\gamma]$ and $H_{p,q,\lambda}^{m,j,l}(\alpha,\beta)$ are investigated. Also, we point out some new or known consequences of our main results.