Certain classes of multivalent functions defined with higher-order derivatives

Authors : Muhamed Kamal AOUF, Abdel Moneim LASHIN, Teodor BULBOACA

Pages : 712-727

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we derive some properties of multivalent functions belonging to the classes $R_{p,q}insert ignore into journalissuearticles values(\alpha);$, $B_{p,q}insert ignore into journalissuearticles values(\alpha);$, and $M_{p,q}insert ignore into journalissuearticles values(\alpha);$. The results obtained generalize the related works of some authors, and many other new results are obtained.
Keywords : Multivalent functions, p valently starlike and convex functions, higher order derivatives, differential subordinations, alpha convex functions