**4. Concluding Remarks and Observations**

Motivated significantly by a number of recent works, we have made use of a certain general conic domain and the quantum (or *q*-) calculus in order to define and investigate a new subclass of normalized analytic functions in the open unit disk U, which we have referred to as *q*-starlike functions. For this *q*-starlike function class, we have successfully derived several properties and characteristics. In particular, we have found the Hankel determinant and the Toeplitz matrices for this newly-defined class of *q*-starlike functions. We also highlight some known consequences of our main results which are stated and proved as theorems and corollaries.

**Author Contributions:** conceptualization, Q.Z.A. and N.K. (Nazar Khan); methodology, N.K. (Nasir Khan); software, B.K.; validation, H.M.S.; formal analysis, H.M.S.; writing—original draft preparation, H.M.S.; writing—review and editing, H.M.S.; supervision, H.M.S.

**Funding:** This research received no external funding.

**Conflicts of Interest:** The authors declare no conflict of interest.
