A Refinement of Schwarz–Pick Lemma for Higher Derivatives
Department of Mathematics Education, Andong National University, Andong 36729, Korea
Department of Mathematics, Pusan National University, Busan 46241, Korea
Department of Mechanical Engineering, Graduate School, Yeungnam University, Gyeongsan 38541, Korea
Department of Mathematics, Graduate School, Andong National University, Andong 36729, Korea
Author to whom correspondence should be addressed.
Received: 23 November 2018 / Revised: 26 December 2018 / Accepted: 10 January 2019 / Published: 13 January 2019
In this paper, a Schwarz–Pick estimate of a holomorphic self map f
of the unit disc D
having the expansion
in a neighborhood of some z
is given. This result is a refinement of the Schwarz–Pick lemma, which improves a previous result of Shinji Yamashita.
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MDPI and ACS Style
Kwon, E.G.; Lee, J.; Kwon, G.; Kim, M.H. A Refinement of Schwarz–Pick Lemma for Higher Derivatives. Mathematics 2019, 7, 77.
Kwon EG, Lee J, Kwon G, Kim MH. A Refinement of Schwarz–Pick Lemma for Higher Derivatives. Mathematics. 2019; 7(1):77.
Kwon, Ern G.; Lee, Jinkee; Kwon, Gun; Kim, Mi H. 2019. "A Refinement of Schwarz–Pick Lemma for Higher Derivatives." Mathematics 7, no. 1: 77.
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