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Some characteristic properties of analytic functions Cover

Abstract

In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that

,

where is the Sălăgean operator and ϕ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coefficient inequality, radius and subordination results, and an inclusion result for the above class when the function ϕ(z) is a bilinear mapping in the open unit disk. For these functions f (z) ; sharp bounds for the initial coefficient and for the Fekete-Szegö functional are determined, and also some integral representations are given.

DOI: https://doi.org/10.1515/auom-2016-0021 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 353 - 369
Submitted on: Oct 1, 2014
Accepted on: Jan 1, 2015
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 R. K. Raina, Poonam Sharma, G. S. Sălăgean, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.