TY  - JOUR
T1  - SOME RESULTS ON A SUBCLASS OF HARMONIC MAPPINGS OF ORDER ALPHA
AU  - Varol, D.
AU  - Aydogan, Melike
AU  - Owa, S.
PY  - 2014
DA  - June
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 104
EP  - 109
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  = b1z +  ∑∞  n=2  bnz  n  , b1  < 1  }  where h z  and g z  are analytic. Additionally  f z  ∈ SH α  ⇔          zh′   z  − zg′ z   h z  + g z   −  1 − b1  1 + b1   <  1 − b1  1 + b1   − α, z ∈ U, 0 6 α  <  1 − b1  1 + b1  In the present work, by considering the analyticity of the functions defined by R. M.  Robinson [7], we discuss the applications to the harmonic mappings.
KW  - Harmonic Mappings
KW  - Subordination principle
KW  - Distortion theorem
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UR  - https://dergipark.org.tr/en/pub/twmsjaem/article/761396
L1  - https://dergipark.org.tr/en/download/article-file/1179897
ER  -