Title of article
Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators
Author/Authors
Orhan ، Halit Department of Mathematics - Faculty of Science - Atatürk University , Arikan ، Hava Department of Mathematics - Faculty of Science - Atatürk University , Çağlar ، Murat Department of Mathematics - Faculty of Science - Erzurum Technical University
From page
65
To page
83
Abstract
In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients |a2| , |a3| and |a4| and of the Fekete Szegö functional [a3 − ηa2^2 ] for certain subclasses of analytic and bi-starlike functions S^∗σ(β, θ, n, m) in the open unit disk. We have also obtained an upper bound of the functional [a2a4−a23] for the functions in the class S^∗σ(β, θ, n, m). Moreover, several interesting applications of the results presented here are also discussed.
Keywords
Analytic functions , Univalent functions , Bi , univalent functions , Bi , starlike functions , Subordination between analytic functions , Hankel determinant
Journal title
Sahand Communications in Mathematical Analysis
Journal title
Sahand Communications in Mathematical Analysis
Record number
2738552
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