Notes on multivalent Bazilevic functions defined by higher order derivatives

Authors: MOHAMED K. AOUF, ADELA O. MOSTAFA, TEODOR BULBOACA

Abstract: In this paper we consider two subclasses $B(p,q,\alpha,\beta)$ and $B_{1}(p,q,\alpha,\beta)$ of p-valently Bazilevi\'c functions defined by higher order derivatives, and we defined and studied some properties of the images of the functions of these classes by the integral operators $\mathrm{I}_{n,p}$ and $\mathrm{J}_{n,p}$ for multivalent functions, defined by using higher order derivatives.

Keywords: p-valent functions, p-valent starlike and convex functions, Bazilevi\'c functions, higher order derivatives, integral operator

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