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A Refinement of Schwarz–Pick Lemma for Higher Derivatives

Author

Listed:
  • Ern Gun Kwon

    (Department of Mathematics Education, Andong National University, Andong 36729, Korea)

  • Jinkee Lee

    (Department of Mathematics, Pusan National University, Busan 46241, Korea)

  • Gun Kwon

    (Department of Mechanical Engineering, Graduate School, Yeungnam University, Gyeongsan 38541, Korea)

  • Mi Hui Kim

    (Department of Mathematics, Graduate School, Andong National University, Andong 36729, Korea)

Abstract

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.

Suggested Citation

  • Ern Gun Kwon & Jinkee Lee & Gun Kwon & Mi Hui Kim, 2019. "A Refinement of Schwarz–Pick Lemma for Higher Derivatives," Mathematics, MDPI, vol. 7(1), pages 1-7, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:77-:d:197322
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