Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function

Date

2019

Authors

Zhang, Hai-Yan
Srivastava, Rekha
Tang, Huo

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

Let S∗s be the class of normalized functions f defined in the open unit disk D={z:|z|<1} such that the quantity zf′(z)f(z) lies in an eight-shaped region in the right-half plane and satisfying the condition zf′(z)f(z)≺1+sinz(z∈D). In this paper, we aim to investigate the third-order Hankel determinant H3(1) and Toeplitz determinant T3(2) for this function class S∗s associated with sine function and obtain the upper bounds of the determinants H3(1) and T3(2) .

Description

Keywords

starlike function, Toeplitz determinant, Hankel determinant, sine function, upper bound

Citation

Zhang, H., Srivastava, R., & Tang, H. (2019). Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function. Mathematics. 7(5), 1-10. https://doi.org/10.3390/math7050404.