一类算子的凸性条件

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 185-189.

一类算子的凸性条件

Department of Mathematics and Science, Yangzhou University

收稿日期:2008-04-22 出版日期:2011-06-30 发布日期:2023-04-26
作者简介:LU Da-qian(1984-), female, native of Suqian, Jiangsu, a student of Yangzhou University, engages in complex analysis.
基金资助:
Supported by the National Natural Science Foundation of Mathematics Tianyuan Fund(A0524629)；

Convexity Condition for a Class of Operator

Department of Mathematics and Science, Yangzhou University

Received:2008-04-22 Online:2011-06-30 Published:2023-04-26
About author:LU Da-qian(1984-), female, native of Suqian, Jiangsu, a student of Yangzhou University, engages in complex analysis.
Supported by:
Supported by the National Natural Science Foundation of Mathematics Tianyuan Fund(A0524629)；

摘要/Abstract

摘要： In this paper, we find a subclass of starlike functions on the unit disk, which are mapped by a operator, given by F(z)=(1+u)/z^u∫^z₀f(t)t^u-1dt(Reu≥0), onto convex functions. The main results extend some known results.

关键词: di?erential subordination, dominant, integral operator

Abstract: In this paper, we find a subclass of starlike functions on the unit disk, which are mapped by a operator, given by F(z)=(1+u)/z^u∫^z₀f(t)t^u-1dt(Reu≥0), onto convex functions. The main results extend some known results.

Key words: di?erential subordination, dominant, integral operator

中图分类号:

O177

鲁大前, 刘金林. 一类算子的凸性条件[J]. 数学季刊, 2011, 26(2): 185-189.

LU Da-qian, LIU Jin-li. Convexity Condition for a Class of Operator [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 185-189.

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