Coefficient bounds of m-fold symmetric bi-univalent functions for certain subclasses

	Coefficient bounds of m-fold symmetric bi-univalent functions for certain subclasses
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 71-82 اصل مقاله (360.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4845
نویسندگان
Nihad Hameed Shehab^* ؛ Abdul Rahman S. Juma
Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
چکیده
In this article, the authors introduce two new subclasses of a class m-fold symmetric biunivalent functions in open unit disk. Coefficient bounds for the Taylor-Maclaurin coefficients \|am+1\| and \|a2m+1\| are obtained. Furthermore, we solve ”Fekete-Szeg” ”o” functional problems for functions in FP,m(γ, µ, ϑ) and MP,m(κ, η, ϑ). Also, several certain special improver results for the associated classes are presented.
کلیدواژه‌ها
Analytic functions؛ Bi-Univalent functions؛ Fekete-Szeg¨o coefficient؛ Taylor-Maclaurin series؛ Univalent functions
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