Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GENERALIZED SCHWARZ LEMMAS FOR MEROMORPHIC FUNCTIONS

  • Huang, Xiaojun (College of Mathematics and Statistics Chongqing University) ;
  • Chen, Ling (College of Mathematics and Statistics Chongqing University)
  • Received : 2010.12.01
  • Published : 2012.03.31
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Abstract

In this paper, we prove an analog of the generalized Schwarz lemma for meromorphic functions. Our results improve the classical generalized Schwarz lemma.

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References

  1. L. V. Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill, New York, 1978.
  2. G. M. Golusin, Geometric Theory of Functions of a Complex Variable, Translations of Mathematical Monographs, Vol. 26, American Mathematical Society, Providence, R.I., 1969.
  3. Z.-X. He and O. Schramm, On the convergence of circle packings to the Riemann map, Invent. Math. 125 (1996), no. 2, 285-305. https://doi.org/10.1007/s002220050076
  4. X. J. Huang, L. Shen, and Y. X. Gu, A remark on the Schwarz lemma, Adv. Math. (China) 37 (2008), no. 2, 222-226.