MMN-1199
Linear operator associated with the generalizedfractional differential operator
Abstract
In this note, we define a generalized linear operator using the generalized fractional differential
operator. By employing this operator together withe the Ces`aro partial sums, we impose starlike class of
analytic functions depending on the subordination relation in the unit disk. We shall show that the functions
in this class imply that the Libera-Pascu integral operator is also in the class. Moreover, we discus some other
properties of convex functions such as convolution and inclusion properties.
Vol. 17 (2016), No. 1, pp. 339-355
DOI: 10.18514/MMN.2016.1199