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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

KRISHNA, D. Vamshee  and  SHALINI, D.. Bound on H3(1) Hankel determinant for pre-starlike functions of order α. Proyecciones (Antofagasta) [online]. 2018, vol.37, n.2, pp.305-315. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172018000200305.

The objective of this paper is to obtain best possible upper bound to the third Hankel determinant for the pre-starlike functions of order α(0≤α<1), using Toeplitz determinants.

Keywords : Analytic function; pre-starlike function; convex function; upper bound; second and third Hankel functionals; positive real function; convolution; Toeplitz determinants.

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