HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α

Volume: 4 Number: 1 June 1, 2014
  • Melike Aydogan
EN

HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α

Abstract

Let SH be the class of harmonic mappings defined by SH = { f = h z + g z | h z = z + ∑∞ n=2 anz n , g z = ∑∞ n=1 bnz n } The purpose of this talk is to present some results about harmonic mappings which was introduced by R. M. Robinson [8]

Keywords

References

  1. C. Caratheodory, Uber den Variabilitatsatsbereich der Koezienten von Potenzrei-hen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115.
  2. Clunie and T. Sheil-Small, Harmonic Univalent functions, Annales Academiae Scientiarum Fennicae, Series A, Vol. 9, pp. 3-35, (1984).
  3. Duren, P. , Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cam- bridge University Press, Cambridge UK, (2004).
  4. Goodman A. W. , Univalent Functions, Volume I and Volume II, Mariner publishing Company INC, Tampa Florida, (1983).
  5. Jack, I. S. , Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2.
  6. W. Janowski, Some extremal problems for certain families of analytic functions I, Annales Polinici Mathematici 27, (1973), 298-326.
  7. M. A. Nasr and M. K. Aouf, Starlike functions of complex order, Jour. of Natural science and Math- ematics vol. 25, No.1, (1985), 1-12.
  8. Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Melike Aydogan This is me

Publication Date

June 1, 2014

Submission Date

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Acceptance Date

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Published in Issue

Year 2014 Volume: 4 Number: 1

APA
Aydogan, M. (2014). HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α. TWMS Journal of Applied and Engineering Mathematics, 4(1), 7-15. https://izlik.org/JA45TJ46AS
AMA
1.Aydogan M. HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α. JAEM. 2014;4(1):7-15. https://izlik.org/JA45TJ46AS
Chicago
Aydogan, Melike. 2014. “HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α”. TWMS Journal of Applied and Engineering Mathematics 4 (1): 7-15. https://izlik.org/JA45TJ46AS.
EndNote
Aydogan M (June 1, 2014) HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α. TWMS Journal of Applied and Engineering Mathematics 4 1 7–15.
IEEE
[1]M. Aydogan, “HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α”, JAEM, vol. 4, no. 1, pp. 7–15, June 2014, [Online]. Available: https://izlik.org/JA45TJ46AS
ISNAD
Aydogan, Melike. “HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α”. TWMS Journal of Applied and Engineering Mathematics 4/1 (June 1, 2014): 7-15. https://izlik.org/JA45TJ46AS.
JAMA
1.Aydogan M. HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α. JAEM. 2014;4:7–15.
MLA
Aydogan, Melike. “HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 1, June 2014, pp. 7-15, https://izlik.org/JA45TJ46AS.
Vancouver
1.Melike Aydogan. HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α. JAEM [Internet]. 2014 Jun. 1;4(1):7-15. Available from: https://izlik.org/JA45TJ46AS