Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Abstract

This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q-exponential function eqz. The well-known class of subordination starlike functions associated with the exponential function is used to construct this subordination q-starlike class. The investigation of Hankel determinants H21,H22 and the Toeplitz determinants T22,T31 results from the analysis of this subordination class. All of these boundaries have been demonstrated to be sharp. Our main findings are inspired by some special cases that are also discussed in this study.