A New Class of Meromorphic Multivalent Functions Involving an Extended Linear Derivative Operator of Ruscheweyh
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Keywords:
Meromorphic Multivalent Functions, Ruscheweyh Derivatives, Meromorphic Starlike FunctionsAbstract
In this paper,we introduce and discuss a new subclass $A_{p}(\lambda ,\alpha )$ of meromorphic multivalent functions in the punctured unit disk $U^{\ast }=\{z:z$ $\epsilon $ $C,0<\left\vert z\right\vert <1\}$ defined by a certain extended linear derivative operator of Ruscheweyh. Coefficients inequality,distortion theorems,closure theorem for this class are obtained.We also obtain radius of starlikeness and radius of convexity for this class.
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.