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

https://doi.org/10.1186/s42787-019-0020-2

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