Third Hankel determinant for starlike and convex functions with respect to symmetric points

D. Vamshee Krishna, B. Venkateswarlu, T. RamReddy

Abstract


The objective of this paper is to obtain best possible upper bound to the \(H_{3}(1)\)  Hankel determinant for starlike and convex functions with respect to symmetric points, using Toeplitz determinants.

Keywords


Analytic function; starlike and convex functions with respect to symmetric points; upper bound; Hankel determinant; convolution; positive real function; Toeplitz determinants

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References


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DOI: http://dx.doi.org/10.17951/a.2016.70.1.37
Date of publication: 2016-07-04 15:44:00
Date of submission: 2016-07-04 12:10:16


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