Certain classes of multivalent functions defined with higher-order derivatives

Authors: MUHAMED KAMAL AOUF, ABDEL MONEIM LASHIN, TEODOR BULBOACA

Abstract: In this paper we derive some properties of multivalent functions belonging to the classes $R_{p,q}(\alpha)$, $B_{p,q}(\alpha)$, and $M_{p,q}(\alpha)$. 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

Full Text: PDF