Sharp estimates on third order Hermitian-Toeplitz determinant for Sakaguchi classes
Commun. Korean Math. Soc.
Published online May 13, 2022
Sushil Kumar and Virendra Kumar
Bharati Vidyapeeth’s College of Engineering, Delhi–110063, India; Department of Mathematics, Ramanujan College, University of Delhi, Delhi
Abstract : 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 w.r.t. symmetric points; Hermitian- Toeplitz determinants; Exponential function, Lemniscate of Bernoulli, Reverse lemniscate.
MSC numbers : 30C45, 30C50
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