Coefficient estimates and Fekete-Szegő inequalities for a new subclass of m-fold symmetric bi-univalent functions satisfying subordinate conditions

	Coefficient estimates and Fekete-Szegő inequalities for a new subclass of m-fold symmetric bi-univalent functions satisfying subordinate conditions
International Journal of Nonlinear Analysis and Applications
مقاله 245، دوره 14، شماره 1، فروردین 2023، صفحه 3145-3154 اصل مقاله (382.09 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28824.4000
نویسندگان
Eszter Gavriş^* ¹؛ Şahsene Altınkaya²
¹Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
²Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey
چکیده
In this paper, we introduce a new subclass of the class of \textit{m}-fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients $\|a_{m+1}\|,\|a_{2m+1}\|$ and Fekete-Szeg\H{o} functional problem for functions in this new subclass. The results in this paper generalize some of the results of Huo Tang et al. [18] Altinkaya and Yalcin [3].
کلیدواژه‌ها
analytic functions؛ bi-univalent functions؛ m-fold symmetric functions؛ subordination؛ coefficient estimates؛ Fekete-Szego problem
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