Hankel determinant for a class of analytic functions of complex order defined by convolution

S. M. El-Deeb, M. K. Aouf

Abstract


In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant \(|a_2a_4-a_3^2|\) for functions belonging to the class \(S_{\gamma}^b(g(z);A,B)\).

Keywords


Fekete-Szego inequality; second Hankel determinant; convolution; complex order.

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References


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DOI: http://dx.doi.org/10.17951/a.2015.69.2.47-59
Date of publication: 2015-12-30 22:51:59
Date of submission: 2015-12-30 12:54:27


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