Subordinants of differential superordinations

By Sanford S. Miller, P. Mocanu. 2003

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Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations (2006, background): “On the other hand, using the results of Miller and Mocanu [1], Bulboacă [2] considered certain classes of first-order differential superordinations as well as superordination-preserving integral operators [3].”
CLASSES OF MEROMORPHIC α-CONVEX FUNCTIONS (2010, methodology): “Finally we investigate the subclass Σ∗(φ) from the perspective of firstorder differential subordination and superordination [8, 9].”
Convolution Properties for Certain Classes of Analytic Functions Defined by -Derivative Operator (2014, methodology): “Furthermore, if the function g is univalent in U, then we have the following equivalence (see [14–16]):”
Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator (2014, background): “[18] S. S. Miller and P. T. Mocanu, “Subordinants of differential superordinations,” Complex Variables.”
Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation (2006, background): “Lemma 1 [cf. Miller and Mocanu [12, Theorem 3.4h, p.132]].”