The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

  • Received : 2011.05.27
  • Accepted : 2011.08.12
  • Published : 2011.08.31
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Abstract

In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them.

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References

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  2. Applications of the Jack's lemma for the holomorphic functions vol.48, pp.2, 2011, https://doi.org/10.30755/nsjom.07545
  3. Applications of the Jack's lemma for the meromorphic functions at the boundary vol.38, pp.7, 2020, https://doi.org/10.5269/bspm.v38i7.46633