


Paper's Title:
Toeplitz Determinant for Sakaguchi Type Functions Under Petal Shaped Domain
Author(s):
B. Nandhini and B. Srutha Keerthi
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email:
nandhinibaskar1996@gmail.com
Division of Mathematics, School of
Advanced Sciences,
Vellore Institute of Technology Chennai Campus,
Chennai  600 048,
India.
Email: keerthivitmaths@gmail.com
Abstract:
We introduce a new general subclass GP^{t,ρ} of Sakaguchi kind function on a Petal shaped domain. We obtain coefficients bounds and upper bounds for the FeketeSzegö functional over the class. From these functions we obtain the bounds of first four coefficients, and then we have derived the Toeplitz determinant T_{2}(2) and T_{3}(1) whose diagonal entries are the coefficients of functions.
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