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Janowski-type mappings associated with the conic shaped domain | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 199، دوره 13، شماره 2، مهر 2022، صفحه 2469-2478 اصل مقاله (393.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25207.2953 | ||
| نویسندگان | ||
| Syed Zakar H Bukhari* ؛ Muhammad Raees Asghar | ||
| Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur-10250(AJK), Pakistan | ||
| تاریخ دریافت: 19 آبان 1400، تاریخ پذیرش: 23 خرداد 1401 | ||
| چکیده | ||
| In geometry, a conic is a plane curve whose coordinates satisfy a quadratic equation in two variables and can be expressed in matrix form. This equation allows deducing and expressing geometric properties of conic sections. In this article, we define certain subclasses $\mathcal{U}_{k}\mathcal{S} (\lambda,\gamma,\tau,\rho)$ and $\mathcal{U}_{k}^{\Im}\mathcal{S}(\lambda,\gamma,\tau,\rho)$ of holomorphic mappings associated with the Janowski-type mappings. These functions are actually generalizations of some basic families of starlike and convex mappings. We study sufficient conditions for $f\in \mathcal{U}_{k}\mathcal{S}(\lambda,\gamma,\tau,\rho)$ along with the characterization, coefficient bounds and other problems. Using certain conditions for functions in the class $\mathcal{U}_{k}\mathcal{S}(\lambda,\gamma,\varrho,\mathbb{\sigma}),$ we also define another class and study some subordination related result. | ||
| کلیدواژه‌ها | ||
| Caratheodory functions؛ factor sequence؛ subordination | ||
| مراجع | ||
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