Estimating coefficients for subclasses of meromorphic bi-univalent functions involving the polylogarithm function

	Estimating coefficients for subclasses of meromorphic bi-univalent functions involving the polylogarithm function
International Journal of Nonlinear Analysis and Applications
مقاله 249، دوره 13، شماره 1، خرداد 2022، صفحه 3085-3092 اصل مقاله (398.73 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6054
نویسندگان
Shamil Ibrahim Ahmed^* ؛ Ahmed Khalaf Radhi
Department of Mathematics, College of Education, Al-Mustansiriyah University, Baghdad, Iraq
چکیده
In this paper, we introduce a new operator \(\Omega_{c}\ g(z)\) associated with polylogarithm function, applying it on the subclasses \(AH_{\Sigma_{\mathcal{B}}^{}}(\gamma,k)\) of meromorphic starlike bi-univalent functions of order \(\gamma\), and \(AH_{{\widetilde{\Sigma}}_{\mathcal{B}}^{}}(\gamma,k)\) of meromorphic strongly starlike bi-univalent functions of order \(\gamma\), also we find estimates on the coefficients \(\left\| b_{0} \right\|\) and \(\left\| b_{1} \right\|\) for functions in these subclasses.
کلیدواژه‌ها
Analytic functions؛ univalent functions؛ Bi-univalent functions؛ Starlike functions؛ strongly starlike functions؛ polylogarithm function؛ Meromorphic functions and Coefficient estimates
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