Hankel and Toeplitz Determinants for <i>q</i> ‐Starlike Functions Involving a <i>q</i> ‐Analog Integral Operator and <i>q</i> ‐Exponential Function

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 e q ( z ). 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 and the Toeplitz determinants 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.