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HARMONIC MAPPINGS RELATED TO THE CONVEX FUNCTIONS

Year 2014, Volume: 4 Issue: 1, 110 - 116, 01.06.2014

Abstract

The main purpose of this paper is to give the extent idea which was introduced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings related to the convex functions.

References

  • Duren, P. , Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cam- bridge University Press, Cambridge UK, (2004).
  • Goodman A. W. , Univalent Functions, Volume I and Volume II, Mariner publishing Company INC, Tampa Florida, (1983).
  • Jack, I. S. , Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2, 469− 474.
  • W. Janowski, Some extremal problems for certain families of analytic functions , Annales Polinici Mathematici 27, (1973), 297-326.
  • Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
Year 2014, Volume: 4 Issue: 1, 110 - 116, 01.06.2014

Abstract

References

  • Duren, P. , Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cam- bridge University Press, Cambridge UK, (2004).
  • Goodman A. W. , Univalent Functions, Volume I and Volume II, Mariner publishing Company INC, Tampa Florida, (1983).
  • Jack, I. S. , Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2, 469− 474.
  • W. Janowski, Some extremal problems for certain families of analytic functions , Annales Polinici Mathematici 27, (1973), 297-326.
  • Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
There are 5 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Arzu Yemisci This is me

Yasar Polatoglu This is me

Publication Date June 1, 2014
Published in Issue Year 2014 Volume: 4 Issue: 1

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