**4. Conclusions**

In this paper, we use Quantum Calculus to define new subclasses *k* − CV*q*(*β*, *<sup>γ</sup>*), *k* −UK*q*(*<sup>λ</sup>*, *α*, *β*, *γ*) and *k* −UQ*q*→<sup>1</sup>(*<sup>λ</sup>*, *α*, *β*, *γ*) of analytic functions involving conic domain and associated with Janowski type function. We then investigate many geometric properties and characteristics of each of these families such as coefficient inequalities, sufficient condition, necessary condition, and convolution properties. For verification and validity of our main results, we have also pointed out relevant connections of our main results with those in several earlier related works on this subject.

For further investigation, we can make connections between the *q*-analysis and (*p*, *q*)-analysis, and the results for *q*-analogues which we have included in this article for 0 < *q* < 1 can be possibly be translated into the relevant findings for the (*p*, *q*)-analogues with (0 < *q* < *p* ≤ 1) by adding some parameter.

**Author Contributions:** Conceptualization, S.H.; Formal analysis, T.M. and M.D.; Funding acquisition, M.D.; Investigation, M.N., S.K. and Z.S.. All authors have read and agreed to the published version of the manuscript.

**Funding:** M.D. is thankful to MOHE grant: FRGS/1/2019/STG06/UKM/01/1.

**Acknowledgments:** The authors would like to thank the referees for their valuable comments and suggestions, which was essential to improve the quality of this paper.

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