TY  - JOUR
T1  - HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTION OF COMPLEX ORDER α
AU  - Aydogan, Melike
PY  - 2014
DA  - June
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 7
EP  - 15
VL  - 4
IS  - 1
LA  - en
AB  - 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]
KW  - Harmonic Mappings
KW  - Subordination principle
KW  - Distortion theorem
KW  - Growththeorem
KW  - Coefficient inequality
CR  - C. Caratheodory, Uber den Variabilitatsatsbereich der Koezienten von Potenzrei-hen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115.
CR  - Clunie and T. Sheil-Small, Harmonic Univalent functions, Annales Academiae Scientiarum Fennicae, Series A, Vol. 9, pp. 3-35, (1984).
CR  - Duren, P. , Harmonic Mappings in the Plane, Vol. 156 of Cambridge Tracts in Mathematics, Cam- bridge University Press, Cambridge UK, (2004).
CR  - Goodman A. W. , Univalent Functions, Volume I and Volume II, Mariner publishing Company INC, Tampa Florida, (1983).
CR  - Jack, I. S. , Functions starlike and convex of order α, J. London Math. Soc. 3(197), no 2.
CR  - W. Janowski, Some extremal problems for certain families of analytic functions I, Annales Polinici Mathematici 27, (1973), 298-326.
CR  - 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.
CR  - Robinson, R. M . , Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35.
UR  - https://dergipark.org.tr/en/pub/twmsjaem/article/761378
L1  - https://dergipark.org.tr/en/download/article-file/1179873
ER  -