与条形区域有关的双向单叶解析函数子类的系数估计

Coefficient Estimates for the Subclasses of Analytic Functions and Bi-Univalent Functions Associated with the Strip Domain

中文关键词:  解析函数  条形域  Salagean算子  从属

英文关键词:analytic functions  strip domain  S\v{a}l\v{a}gean operator  subordination

中文摘要:

      本文引入了条形区域内由Salagean算子刻画的解析函数新子类, 讨论了该函数子类的系数估计、Fekete-Szego不等式以及与该函数子类有关的双向单叶函数的系数估计, 所得结果推广了前人的一些工作.

英文摘要:

      The S\v{a}l\v{a}gean operator is used here to introduce a new subclass of analytic functions associated with the strip domain. We obtain the bounds of coefficients and Fekete-szeg\"{o} inequality for functions in this class and coefficient estimates of bi-univalent functions for certain subclasses of this class. The results presented here extend some of the earlier results.