The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

Harmonic Functions with Positive Real Part

Author(s):

Sïbel Yalçin

Uludag Universitesi,
Fen Edebiyat Fakultesi, Matematik Bolumu,
16059 Bursa,
Turkey

syalcin@uludag.edu.tr

Abstract:

In this paper, the class of harmonic functions f=h+{g} with positive real part and normalized by f(ζ )=1, (|ζ|<1) is studied, where h and g are analytic in U={z:|z|<1}. Some properties of this class are searched. Sharp coefficient relations are given for functions in this class. On the other hand, the author make use of Alexander integral transforms of certain analytic functions (which are starlike with respect to f(ζ)) with a view to investigating the construction of sense preserving, univalent and close to convex harmonic functions.

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