Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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HARMONIC MAPPINGS WITH ANALYTIC FUNCTIONS

  • Received : 2012.09.24
  • Accepted : 2012.11.05
  • Published : 2012.12.30
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Abstract

In this paper, we study harmonic, orientation-preserving, univalent mappings defined on ${\Delta}$ = {z : |z| > 1} that have real coefficients or starlike analytic functions and obtain some coefficients bounds.

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References

  1. T.H. Gronwall, Some remarks on conformal representation, Ann. of Math. 16 (1914-15), 72-76.
  2. W. Hengartner and G. Schober, Univalent harmonic functions, Trans. Amer. Math. Soc. 299 (1987), 1-31. https://doi.org/10.1090/S0002-9947-1987-0869396-9
  3. S.H. Jun, Univalent harmonic mappings on $\Delta={z\;:\;\left|z\right|>1$, Proc. Amer. Math. Soc. 119 (1993), 109-114.