Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator

Author

Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin Elkom 32511, Egypt

Abstract

The main object of this paper is to investigate some subordination results of certain
subclasses of multivalent analytic functions which are defined by a generalized
fractional differintegral operator. Inclusion relations for functions in the class Sλ,μ,η
p,q (ζ ; A, B) and the images of these functions by the generalized
Bernardi-Libera-Livingston integral operator are also considered.

Keywords