충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제22권4호
  • /
  • Pages.749-756
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  • 2009
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

STUDY ON UNIVALENT HARMONIC MAPPINGS

  • Jun, Sook Heui (Department of Mathematics, Seoul Women's University)
  • 투고 : 2009.08.24
  • 심사 : 2009.11.06
  • 발행 : 2009.12.30
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초록

In this paper, we obtain some coefficient bounds of harmonic univalent mappings on $\Delta=\{z\;:\;{\mid}z{\mid}\;>\;1\}$ which are starlike, convex, or convex in one direction.

키워드

과제정보

연구 과제 주관 기관 : Seoul Women's University

참고문헌

  1. P. L. Duren, Univalent functions, Springer-Verlag, N. Y. 1983.
  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. W. Hengartner and G. Schober, Univalent harmonic exterior and ring mappings, J. Math. Anal. Appl. 156 (1991), 154-171. https://doi.org/10.1016/0022-247X(91)90388-G
  4. S. H. Jun, Planar harmonic mappings and curvature estimates, J. Korean Math. Soc. 32 (1995), 803-814.