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CERTAIN CLASS OF HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTIONS

Year 2014, Volume: 4 Issue: 1, 1 - 6, 01.06.2014

Abstract

Let S ∗ be the class of starlike functions and let SH be the class of harmonic mappings in the plane. In this paper we investigate harmonic mapping related to the starlike functions.

References

  • J. Clunie , On meromorphic functions, J. London Math. Soc. 34, (1959), 215− 216.
  • P. Duren, Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge UK, (2004).
  • A. W. Goodman, Univalent Functions, Volume I and Volume II, Mariner publishing Company Inc. , (1983), Tampa Florida.
  • I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2, 469− 471.
  • W. Janowski, Some extremal problems for certain families of analytic functions,I. Ann. Polon. Math. 28, (1973), 297− 326.
Year 2014, Volume: 4 Issue: 1, 1 - 6, 01.06.2014

Abstract

References

  • J. Clunie , On meromorphic functions, J. London Math. Soc. 34, (1959), 215− 216.
  • P. Duren, Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge UK, (2004).
  • A. W. Goodman, Univalent Functions, Volume I and Volume II, Mariner publishing Company Inc. , (1983), Tampa Florida.
  • I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2, 469− 471.
  • W. Janowski, Some extremal problems for certain families of analytic functions,I. Ann. Polon. Math. 28, (1973), 297− 326.
There are 5 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Yasemin Kahramaner This is me

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

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