Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator

Document Type : Original Article

Authors

1 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

2 School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, China

http://dx.doi.org/10.1016/j.joems.2013.06.009

Abstract

By making use of the principle of subordination between analytic functions and the generalized
fractional differintegral operator, we introduce and investigate some new subclasses of pvalently
analytic functions in the open unit disk. Such results as inclusion relationships, integralpreserving
properties, convolution properties, subordination and superordination properties, and
sandwich theorems for these classes are derived.

Keywords