Schwarz lemma involving the boundary fixed point

被引：0

作者：

Xu Q. ^{[1
]}

Tang Y. ^{[1
]}

Yang T. ^{[1
]}

Srivastava H.M. ^{[2
,3
]}

机构：

[1] College of Mathematics and Information Science, JiangXi Normal University, NanChang

[2] Department of Mathematics and Statistics, University of Victoria, Victoria, V8W 3P4, BC

[3] China Medical University, Taichung

来源：

Fixed Point Theory and Applications | / 2016卷 / 1期

基金：

中国国家自然科学基金;

关键词：

boundary Schwarz lemma; fixed point; zero of order;

D O I：

10.1186/s13663-016-0574-8

中图分类号：

学科分类号：

摘要：

Let f be an holomorphic function which maps the unit disk into itself. In this paper, consider the zero of order k (i.e., f(z) − f(0) (or f(z)) has a zero of order k at z= 0), we obtain the sharp estimates of the classical boundary Schwarz lemma involving the boundary fixed point. The results presented here would generalize the corresponding result obtained by Frolova et al. (Complex Anal. Oper. Theory 8:1129-1149, 2004). © 2016, Xu et al.

引用

共 19 条

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