**5. Conclusions**

In this paper, we mainly study the closure properties of the generalized quasi-Hadamard products, the generalized differential operator and its related special operators for T Q*λ*(*<sup>a</sup>*, *k*, *A*, *B*) and T J *<sup>λ</sup>*(*<sup>a</sup>*, *k*, *A*, *B*) of analytic functions with negative and missing coefficients. Also, we give two examples and six corollaries to illustrate our results obtained. In the future, we can consider to extend some classical analytic function classes (such as starlike, convex, close-to-convex) in A(*<sup>a</sup>*, *k*), and discuss the closure properties of the generalized quasi-Hadamard products.

**Author Contributions:** Conceptualization, E.A. and S.L.; methodology, E.A. and S.L.; software, E.A.; validation, E.A.; formal analysis, S.L.; investigation, E.A.; resources, S.L.; data curation, E.A.; writing—original draft preparation, E.A.; writing—review and editing, E.A.; visualization, S.L.; supervision, E.A.; project administration, E.A.; funding acquisition, E.A.

**Funding:** This study was supported by the Higher School Foundation of Inner Mongolia of China(Grant No.NJZY19211) and the National Natural Science Foundation of China(Grant No.11561001).

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