Certain Subordination-Preserving Family of Integral Operators Associated with p-Valent Functions

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.…”

Criteria for a certain class of the Carathéodory functions and their applications

“…Several recent investigations on various applications of differential subordination and differential superordination were reported in, for example, [21,22,26,27] (see also [4,5], and [6]).…”

Subclasses of analytic functions of complex order defined by q-derivative operator

“…where the symbol ≺ stands for subordination between analytic functions (see [13]) (see also [5] and [23]). The class K[b; A, B] was introduced and studied by Aouf et al [3] and the class S[b; A, B] was introduced and studied by Sohi and Singh [21] (see also Aouf et al [3] and [4]).…”