Differential subordinations and geometric means

Some Applications of Differential Subordination of p-Valent Functions

“…Several authors discussed the principle of differential subordination (e.g., [6], [16] and [17]) and others used this principle to solve some differential subordination problems (e.g., [7], [8], [9], [20], [21], [23] and [25] )…”

A first-order differential double subordination with applications

“…Following the work of Lewandowski et al [12,13], Kanas et al [10] determined conditions on p and h satisfying…”

“…for a fixed α ∈ [0, 1]. Lecko [11] (see Kanas et al [10] for a symmetric version) investigated the more general subordination…”

Differential Subordinations and Harmonic Means

“…[1][2][3][4][5][6][7][8][9][11][12][13][14]16,17], for the extensive studies, we refer to the Miller and Mocanu monograph [10]). …”