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Research Article

HANKEL DETERMINANT OF GENERALISED CLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO $m$-FOLD SYMMETRIC POINTS

R
R. Reena Roy CIPET: Institute Of Plastics Technology, Guindy, Chennai - 600032, Tamil Nadu, INDIA
T
Thomas Rosy Department of Mathematics, Madras Christian College, Tambaram, Chennai - 600059, Tamil Nadu, INDIA
Volume 17, Issue 3 Pages 63-72 December 30, 2021 330 downloads
Article overview

Abstract

Denote $\mathcal{S}$ to be the class of functions which are analytic, normalized and univalent in the open unit disk ${\mathbb{E}}= \{z \in \mathbb{C} : |z|<1\}.$ The upper bound for the functional $ |a_{m+1}a_{3m+1}-a_{2m+1}^{2}|$ with respect to $m$-fold symmetric points are determined.

Keywords and Phrases

Starlike functionsConvex functions$q^{th}$ Hankel determinant$m$-fold symmetric points.

AMS Subject Classification

30C45, 30C50.

Reference information

How to Cite

R. Reena Roy, Thomas Rosy (2021). HANKEL DETERMINANT OF GENERALISED CLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO $m$-FOLD SYMMETRIC POINTS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(3), 63-72.
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