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HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α

Yıl 2014, Cilt: 4 Sayı: 1, 7 - 15, 01.06.2014

Öz

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]

Kaynakça

  • C. Caratheodory, Uber den Variabilitatsatsbereich der Koezienten von Potenzrei-hen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115.
  • Clunie and T. Sheil-Small, Harmonic Univalent functions, Annales Academiae Scientiarum Fennicae, Series A, Vol. 9, pp. 3-35, (1984).
  • 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.
  • W. Janowski, Some extremal problems for certain families of analytic functions I, Annales Polinici Mathematici 27, (1973), 298-326.
  • 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.
  • Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
Yıl 2014, Cilt: 4 Sayı: 1, 7 - 15, 01.06.2014

Öz

Kaynakça

  • C. Caratheodory, Uber den Variabilitatsatsbereich der Koezienten von Potenzrei-hen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115.
  • Clunie and T. Sheil-Small, Harmonic Univalent functions, Annales Academiae Scientiarum Fennicae, Series A, Vol. 9, pp. 3-35, (1984).
  • 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.
  • W. Janowski, Some extremal problems for certain families of analytic functions I, Annales Polinici Mathematici 27, (1973), 298-326.
  • 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.
  • Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Melike Aydogan Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 4 Sayı: 1

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