Mathematica Bohemica, Vol. 148, No. 2, pp. 131-148, 2023
Some applications of subordination theorems associated with fractional $q$-calculus operator
Wafaa Y. Kota, Rabha Mohamed El-Ashwah
Received April 16, 2021. Published online May 2, 2022.
Abstract: Using the operator $\frak{D}_{q,\varrho}^m(\lambda,l)$, we introduce the subclasses $\frak{Y}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ and $\frak{K}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.
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Affiliations: Wafaa Y. Kota, Rabha Mohamed El-Ashwah, Department of Mathematics, Faculty of Science, Damietta University, New Damietta, 34511, Egypt, e-mail: wafaa_kota@yahoo.com, r_elashwah@yahoo.com
