Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain

Date

2019

Authors

Srivastava, H.M.
Ahmad, Qazi Zahoor
Khan, Nasir
Khan, Nazar
Khan, Bilal

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U. In particular, we find the Hankel determinant and the Toeplitz matrices for this newly-defined class of analytic q-starlike functions. We also highlight some known consequences of our main results.

Description

Keywords

analytic functions, starlike and q-starlike functions, q-derivative operator, q-hypergeometric functions, conic and generalized conic domains, Hankel determinant, Toeplitz matrices

Citation

Srivastava, H.M., Zahoor, Q., Khan, N., Khan, N. & Khan, B. (2019). Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain. Mathematics, 7(2), 181. https://doi.org/10.3390/math7020181