Harmonic mappings related to starlike function of complex order [alpha]

Let [S.sub.H] be the class of harmonic mappings defined by [S.sub.H] = f = h(z) + [bar.g(z)]|h(z) = z + [[infinity].summation over (n=2)] [a.sub.n][z.sup.n], g(z) = [[infinity].summation over (n=1)][b.sub.n][z.sup.n] The purpose of this talk is to present some results about harmonic mappings which w...

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Vydané v:TWMS journal of applied and engineering mathematics Ročník 4; číslo 1; s. 7
Hlavný autor: Aydogan, Melike
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Istanbul Turkic World Mathematical Society 01.01.2014
Elman Hasanoglu
Predmet:
Analysis
Applied mathematics
Functions of complex variables
Harmonic analysis
Harmonic functions
Mappings (Mathematics)
Theorems
United States
ISSN:2146-1147, 2146-1147
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Shrnutí:Let [S.sub.H] be the class of harmonic mappings defined by [S.sub.H] = f = h(z) + [bar.g(z)]|h(z) = z + [[infinity].summation over (n=2)] [a.sub.n][z.sup.n], g(z) = [[infinity].summation over (n=1)][b.sub.n][z.sup.n] The purpose of this talk is to present some results about harmonic mappings which was introduced by R. M. Robinson [8]. Keywords: Harmonic Mappings, Subordination principle, Distortion theorem, Growth theorem, Coefficient inequality. AMS Subject Classification: Primary 30C45, Secondary 30C55.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2146-1147
2146-1147