Geodesic
Some applications of subordination theorems associated with fractional $q$-calculus operator
Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 131-148.

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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.
DOI : 10.21136/MB.2022.0047-21
Classification : 30C45, 30C50
Keywords: analytic function; subordination principle; subordinating factor sequence; Hadamard product; $q$-difference operator; fractional $q$-calculus operator 
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Kota, Wafaa Y.; El-Ashwah, Rabha Mohamed. Some applications of subordination theorems associated with fractional $q$-calculus operator. Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 131-148. doi : 10.21136/MB.2022.0047-21. http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0047-21/

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