Subordination Factor Sequence Results for Starlike and Convex Classes Defined by a Generalized Operator | ||
| Journal of Fractional Calculus and Applications | ||
| Volume 16, Issue 1, 2025, Pages 1-8 PDF (244.35 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/jfca.2024.279875.1089 | ||
| Authors | ||
| Aya Elkhatib* 1; Adela Moustafa2; Mohamed Tharwat3 | ||
| 1Dept. of Math. and Computer Sci., Faculty of Science, Beni Suef University, Egypt | ||
| 2Dept. of Math. Faculty of Science, Mansura University, Egypt. | ||
| 3Dept. of Math. and Computer Sci., Faculty of Science, Beni Suef University, Egypt. | ||
| Abstract | ||
| In this investigations, we generalize the multiplier operator analytic and univalent functions in the form f(z)=z+∑_{k=2}^{∞}a_{k}z^{k} defined in the open unit disc U={z:z∈ℂ and |z|<1}. This new operator contains many other operators which were defined by many authors such as Cho and kim [8], Cho and Srivastava [9], Cătaş et al. [7], Uralegaddi and Samanatha [13], Aouf et al. [4, with w=0] and others for different values of its parameters. Using the principle of subordination and this new operator, we define two subclasses of starlike and convex functions S_{n}^{∗}(λ,s,A,B,α) and C_{n}^{∗}(λ,s,A,B,α) respectively, which in turn generalize many other classes for the special values of the parameters. Using the definition and the lemma of Wilf [14], we obtain many results of subordinating factor sequence for these classes which lead to obtaining that also for the special subclasses by using the technique of Attiya [5], Frasin [10] and recently by Aouf and Mostafa [2,3]. | ||
| Keywords | ||
| Subordination; factor sequence; regular function; convex and starlike functions | ||
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