Some properties of generalized convolution of harmonic univalent functions
نویسندگان
چکیده
منابع مشابه
Some 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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In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.
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A recent result of Yalcin [9] appeared in Applied Mathematics Letters (2005), concerning the convolution of two harmonic univalent functions in class SH(m,n, α) is improved. AMS (MOS) Subject Classification Codes: 30C45
متن کاملConvolution Properties of Harmonic Univalent Functions Preserved by Some Integral Operator
A complex valued function f = u+ iv defined in a domain D ⊂ C, is harmonic in D, if u and v are real harmonic. Such functions can be represented as f(z) = h(z) + g(z), where h an g are analytic in D. In this paper we study some convolution properties preserved by the integral operator In H,λf, n ∈ N0 = N ∪ {0}, λ > 0, where the functions f are univalent harmonic and sense-preserving in the open...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2013
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0441