Abstract
In this paper, we introduce the subclasses \(T_p (\alpha ,\delta ,A,B,n)\) and \(T_p^* (\alpha ,\delta ,A,B,n)\) of meromorphic multivalent functions in the punctured unit disk \(U^{*}=\left\{ {z\in C :0<\left| z \right| <1} \right\} \) by using a differential operator \(D_{\delta ,p}^n f(z)\). We obtain coefficient estimates, distortion theorem, radius of convexity and closure theorems for the class \(T_p^*(\alpha ,\delta ,A,B,n)\). The familiar concept of neighborhoods of analytic functions is also extended and applied to the functions considered here.
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Khammash, G.S., Agarwal, P. (2017). Certain Class of Meromorphically Multivalent Functions Defined by a Differential Operator. In: Ruzhansky, M., Cho, Y., Agarwal, P., Area, I. (eds) Advances in Real and Complex Analysis with Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-10-4337-6_4
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DOI: https://doi.org/10.1007/978-981-10-4337-6_4
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