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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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics Vol. 4; no. 1; p. 7
Main Author: Aydogan, Melike
Format: Journal Article
Language:English
Published: Istanbul Turkic World Mathematical Society 01.01.2014
Elman Hasanoglu
Subjects:
Analysis
Applied mathematics
Functions of complex variables
Harmonic analysis
Harmonic functions
Mappings (Mathematics)
Theorems
United States
ISSN:2146-1147, 2146-1147
Online Access:Get full text
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Summary: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.
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ISSN:2146-1147
2146-1147