The sharp bound of certain second Hankel determinants for the class of inverse of starlike functions with respect to symmetric points

K. Sanjay Kumar; Biswajit Rath; N.  Vani; D. Vamshee Krishna

doi:10.3842/umzh.v75i10.7255

K. Sanjay Kumar Gitam School of Science, GITAM University, India https://orcid.org/0000-0002-6623-8615
Biswajit Rath Gitam School of Science, GITAM University, India
N. Vani Gitam School of Science, GITAM University, India
D. Vamshee Krishna North-Eastern Hill University (NEHU), Umshing Mawkynroh, Shillong, Meghalaya, India https://orcid.org/0000-0002-3334-9079

DOI: https://doi.org/10.3842/umzh.v75i10.7255

Keywords: Analytic function, Upper bound, Hankel determinant, Carath´eodory function

Abstract

UDC 517.5

We investigate the sharp bound of certain coefficient functionals associated with a Hankel determinant of second kind for the inverse function, when $f$ belongs to the class of starlike functions with respect to symmetric points.

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