A Refinement of Schwarz–Pick Lemma for Higher Derivatives
In this paper, a Schwarz–Pick estimate of a holomorphic self map f of the unit disc D having the expansion f ( w ) = c 0 + c n ( w − z ) n + … in a neighborhood of some z in D is given. This result is a refinement of the Schwarz–Pick lemma,...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2019-01-01
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Series: | Mathematics |
Subjects: | |
Online Access: | http://www.mdpi.com/2227-7390/7/1/77 |
Summary: | In this paper, a Schwarz–Pick estimate of a holomorphic self map f of the unit disc D having the expansion f ( w ) = c 0 + c n ( w − z ) n + … in a neighborhood of some z in D is given. This result is a refinement of the Schwarz–Pick lemma, which improves a previous result of Shinji Yamashita. |
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ISSN: | 2227-7390 |