Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2022; 37(4): 1041-1053

Online first article May 13, 2022      Printed October 31, 2022

https://doi.org/10.4134/CKMS.c210332

Copyright © The Korean Mathematical Society.

Sharp estimates on the third order Hermitian-Toeplitz determinant for Sakaguchi classes

Sushil Kumar, Virendra Kumar

Bharati Vidyapeeth's College of Engineering; University of Delhi

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In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz determinant for the classes of Sakaguchi functions and some of its subclasses related to right-half of lemniscate of Bernoulli, reverse lemniscate of Bernoulli and exponential functions are investigated.

Keywords: Starlike and convex functions with respect to symmetric points, Hermitian-Toeplitz determinants, exponential function, lemniscate of Bernoulli, reverse lemniscate

MSC numbers: Primary 58B34, 58J42, 81T75

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