Öz
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.
Anahtar Kelimeler
Harmonic Mappings Distortion theorem Growth theorem Coefficient inequality
Kaynakça
- 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.
Öz
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 4 Sayı: 1 |