ON THE ANALYTIC PART OF HARMONIC UNIVALENT FUNCTIONS
نویسندگان
چکیده
منابع مشابه
On Univalent Harmonic Functions
Two classes of univalent harmonic functions on unit disc satisfying the conditions ∑∞ n=2(n−α)(|an|+|bn|) ≤ (1−α)(1−|b1|) and ∑∞ n=2 n(n−α)(|an|+|bn|) ≤ (1−α)(1−|b1|) are given. That the ranges of the functions belonging to these two classes are starlike and convex, respectively. Sharp coefficient relations and distortion theorems are given for these functions. Furthermore results concerning th...
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The class of univalent harmonic functions on the unit disc satisfying the condition ∑∞ k=2 (k m − αk)(|ak|+ |bk|) ≤ (1−α)(1−|b1|) is given. Sharp coefficient relations and distortion theorems are given for these functions. In this paper we find that many results of Özturk and Yalcin [5] are incorrect. Some of the results of this paper correct the theorems and examples of [5]. Further, sharp coe...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2005
ISSN: 1015-8634
DOI: 10.4134/bkms.2005.42.3.563