Inclusion results for certain classes of analytic functions associated with a new fractional differintegral operator

Applications of differential subordinations involving a generalized fractional differintegral operator

“…We emphasize that in recent years, several authors obtained many interesting results involving different linear and convolution operators associated with second-order differential subordinations (see [19,23]) and regarding the third-order differential subordinations (see [21]) for the above mentioned operator.…”

On a Generalized Convolution Operator

“…, we can obtain the operator defined in [14,15]. It is interesting to note that one requires the convolution of only two known linear operators as defined in (12) to define the various operators discussed above including a symmetric operator introduced recently in [14] which is a convolution of three well-known operators.…”