Starlikeness of a certain integral
نویسندگان
چکیده
منابع مشابه
On Certain Sufficient Conditions for Starlikeness
We consider certain properties of f(z)f ′′(z)/f ′2(z) as a sufficient condition for starlikeness.
متن کاملStarlikeness Conditions for an Integral Operator
Let for fixed n ∈ N, Σn denotes the class of function of the following form f(z) = 1 z + ∞ ∑ k=n akz , which are analytic in the punctured open unit disk ∆∗ = {z ∈ C : 0 < |z| < 1}. In the present paper we defined and studied an operator in F (z) = [ c+ 1− μ zc+1 ∫ z 0 ( f(t) t )μ tdt ] 1 μ , for f ∈ Σn and c+ 1− μ > 0.
متن کاملA Meromorphic-Starlikeness-Preserving Property of an Integral Operator
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Let U = {z ∈ C : |z| < 1} be the unit disc in the complex plane.Let Σ k be the class of meromorphic functions f in U having the form: f (z) = 1 z + α k z k + · · · , 0 < |z| < 1, k ≥ 0 A function f ∈ Σ = Σ 0 is called starlike...
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Aabed Mohammed and Maslina Darus School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. Ehsan, Malaysia Correspondence should be addressed to Maslina Darus, [email protected] Received 3 March 2011; Revised 15 April 2011; Accepted 3 June 2011 Academic Editor: Pablo Gonza’lez-Vera Copyright q 2011 A. Mohammed and M. Darus. This is...
متن کاملStarlikeness 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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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1991
ISSN: 0893-9659
DOI: 10.1016/0893-9659(91)90023-o