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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In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
متن کاملVarious Remarks on Univalent Functions
Let F„ denote the wth coefficient region for this class of functions [S, §1.2]. Let F=Fia2, ä2, ■ • ■ , a„, a«) be a real-valued function. Write x,= (l/2)(a,+á,), y,= (l/2í)(a,-á,), F,= (l/2)(r3F/r)x, — idF/dy,). Let F satisfy the further conditions (a) F is defined in an open set O containing V„, (b) F and its derivatives F, are continuous in 0, (c) |grad F\ = ( E?-a | F,\ 2)1/2>0 in 0. Let/(z...
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We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of order α in the open unit disk. 2000 Mathematics Subject Classification. Primary 30C45.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1972
ISSN: 0386-5991
DOI: 10.2996/kmj/1138846518