Hadamard product of analytic functions and some special regions and curves
نویسندگان
چکیده
منابع مشابه
Starlikeness of Hadamard product of certain analytic functions
An interesting criterion was given by Lashin (A.Y. Lashin, Some convolution properties of analytic functions, Appl. Math. Lett. 18 (2005) 135–138) to be starlike for convolution of analytic functions f, g such that Re1⁄2f 0ðzÞ P a; Re1⁄2g0ðzÞ P b; a; b < 1 in the unit disc U. In this paper we shall improve this criterion. 2007 Elsevier Inc. All rights reserved.
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In this paper we introduce a new class H(φ, α, β) of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. Several properties like, the coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated. We further consider a subordination theorem, certain bound...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-420