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On strongly starlikeness of Libera transform | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 15، دوره 16، شماره 10، دی 2025، صفحه 149-153 اصل مقاله (331.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35871.5326 | ||
| نویسندگان | ||
| Seyyed Sadegh Gholami* 1؛ Rogayeh Alavi2 | ||
| 1Assistant Professor، Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran .r.gholami@cfu.ac.ir | ||
| 2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran | ||
| تاریخ دریافت: 19 مهر 1403، تاریخ بازنگری: 13 آذر 1403، تاریخ پذیرش: 21 آذر 1403 | ||
| چکیده | ||
| Let $\mathcal{A}$ denote the class of functions $f$ that are analytic in the unit disk $\Delta$ with normalization $f(0)=f^{\prime}(0)-1=0$. In this paper conditions are determined for strongly starlikeness of the Libera transform. The results of Mocanu and Nunokawa et al. are improved. | ||
| کلیدواژه‌ها | ||
| Nunokawa's Lemma؛ Starlike functions؛ Strongly starlike functions؛ Libera transform | ||
| مراجع | ||
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[1] D.A. Brannan and W.E. Kirwan, On some classes of bounded univalent functions, J. London Math. Soc. 1 (1969), no. 2, 431–443. [2] P.T. Mocanu, On starlikeness of Libera transform, Mathematica (Cluj) 28 (1986), 153–155. [3] P.T. Mocanu, New extensions of a theorem of R. Singh and S. Singh, Mathematica (Cluj) 37 (1995), 171–182. [4] M. Nunokawa, On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser A 69 (1993), 234–237. [5] M. Nunokawa, N.E. Cho, O.S. Kwon, and J. Sokol, An improvement of Ozaki’s p-valent conditions, Acta Math. Sinica, English Ser. 32 (2016), no. 4, 406–410. [6] M. Nunokawa and J. Sok´o l, On starlikeness of Libera transform, Sains Malay. 44 (2015), no. 1, 155–158. [7] J. Stankiewicz, Quelques problemes extremaux dans les classes des fonctions α-anglairement etoilees, Ann. Univ. | ||
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