On Differential Subordination and Superordination Results of Multivalent Functions Defined by a Linear Operator

Abstract

In this paper, we derive some results for multivalent analytic functions defined bylinear operator by using differential Subordination and superordination

On differential subordination theorems of analytic multivalent functions defined by generalized integral operator

“…They also found conditions so that the function is the largest function with this property, called the best subordinant of the superordination (1.3). See [1,2,3,4,5,6], the authors studied differential subordination results for multivalent functions for other classes.…”

Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

“…If the functions f and g are analytic in U, then we say f is subordinate to g or f is said to be superordinate to f in U, written as f ≺ g or f (w) ≺ g(w) if there is a Schwarz function υ(w) analytic in U, with |υ(w)| < 1, so that f (w) = g(υ(w)) and w ∈ U. In particular, if the function g is univalent in U, then the subordination f ≺ g is equivalent to f (0) = g(0) and f (U) ⊂ g(U), (see [1][2][3][4][5][6][7][8]).…”