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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
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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