منابع مشابه
Generalized Salagean-type harmonic univalent functions
The main purpose of this paper is to introduce a generalization of modified Salagean operator for harmonic univalent functions. We define a new subclass of complex-valued harmonic univalent functions by using this operator ,and we investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points and convex combination for the above class of harmonic univalent functi...
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Suppose u(x, y) is a bounded harmonic function on the upper half plane such that lim x→∞ u(x, yo) = a for some yo > 0. Then one can prove that lim x→∞ u(x, y) = a for any other positive y. In this paper, we shall consider the algebra of radial integrable functions on the H-type groups and obtain a similar result for the bounded harmonic functions on generalized Siegel domain.
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متن کاملSome Properties of Generalized Convolution of Harmonic Univalent Functions
The purpose of the present paper is to investigate some interesting properties on generalized convolutions of functions for the classes HP ∗(α),HS(α) andHC(α). Further, an application of the convolution on certain integral operator are mentioned. AMS 2010 Mathematics Subject Classification : 30C45, 26D15.
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We investigate the new class H b (α, β) of analytic functions with Koebe type. The subordination, superordination, best dominant result for that class was obtain. And by making use of Jack's Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class H b (α, β) of n-fold symmetric analytic functions of Koebe type. Relevant...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.10.066