On alpha-Quasi-Uniformly convex p-valent functions of type $beta$ in terms of Ruscheweyh derivatives

Abstract

In the present paper we will establish some properties of the class of $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ by making use of the Ruscheweyh Derivatives.