
تعداد نشریات | 21 |
تعداد شمارهها | 620 |
تعداد مقالات | 9,100 |
تعداد مشاهده مقاله | 67,309,769 |
تعداد دریافت فایل اصل مقاله | 7,796,612 |
A new subclass of analytic functions and some results related to Booth lemniscate | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 2، دوره 16، شماره 7، مهر 2025، صفحه 17-25 اصل مقاله (366.66 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24018.4047 | ||
نویسنده | ||
Zahra Orouji | ||
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran | ||
تاریخ دریافت: 14 اسفند 1400، تاریخ بازنگری: 16 خرداد 1401، تاریخ پذیرش: 29 آبان 1401 | ||
چکیده | ||
In this paper, we introduce the subclass $\mathcal{K}\mathcal{S}(\alpha)$ of univalent functions in $\mathcal{A}$ and study some properties of this class. We apply matters of differential subordinations, to investigate some results concerning the subclasses $\mathcal{K}\mathcal{S}(\alpha)$ and $\mathcal{B}\mathcal{S}(\alpha)$ of $\mathcal{A}$, where $\alpha \in [0,1)$. | ||
کلیدواژهها | ||
Starlike functions؛ Convex functions؛ Differential subordination؛ Booth lemniscate | ||
مراجع | ||
[1] P.L. Duren, Univalent Functions, Grundlehren der mathematischen Wissenschaften 259, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983. [2] I. Hotta and M. Nunokawa, On strongly starlike and convex functions of order α and type β, Mathematica 53 (2011), no. 76, 51–56. [3] W. Kaplan, Close-to-convex schlicht functions, Michigan Math. J. 1 (1952), no. 2, 169–185. [4] R. Kargar, A. Ebadian, and J. Sok´o l, On Booth lemniscate and starlike functions, Anal. Math. Phys. 9 (2019), no. 1, 143–154. [5] R. Kargar, A. Ebadian, and L. Trojnar-Spelina, Further results for starlike functions related with Booth lemniscate, Iran. J. Sci. Technol. Trans. A: Sci. 43 (2019), no. 3, 1235–1238. [6] S.S. Miller and P.T. Mocanu, Differential Subordinations: Theory and Applications, Marcel Dekker Inc., New York, 2000. [7] M. Nunokawa, On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Seri. A, Math. Sci. 69 (1993), no. 7, 234–237. [8] M. Nunokawa, S.P. Goyal, and R. Kumar, Sufficient conditions for starlikeness, J. Class. Anal. 1 (2012), no. 1, 85–90. [9] Z. Orouji and R. Aghalary, The norm estimates of Pre- Schwarzian derivatives of spirallike functions and uniformly convex α- spirallike functions, Sahand Commun. Math. Anal. 12 (2018), no. 1, 89–96. [10] K. Piejko and J. Sokol, Hadamard product of analytic functions and some special regions and curves, J. Ineq. Appl. 2013 (2013), 420. [11] Y.J. Sim and D.K. Thomas, On the difference of coefficients of starlike and convex functions, Mathematics 8 (2020), no. 9, 1521. | ||
آمار تعداد مشاهده مقاله: 765 تعداد دریافت فایل اصل مقاله: 235 |