15 research outputs found
On differential sandwich theorems of analytic functions defined by certain linear operator
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results
Inclusion Properties of Certain Subclasses of p-Valent Functions Associated with the Integral Operator
The purpose of the present paper is to introduce two subclasses of p-valent functions by using the integral operator and to investigate various properties for these subclasses
Subordination and superordination results of p-valent analytic functions involving a linear operator
In this paper we derive some subordination and superordination results for certain p-valent analytic functions in the open unit disc, which are acted upon by a class of a linear operator. Some of our results improve and generalize previously known results
Convolution Results and FeketeâSzegö Inequalities for Certain Classes of Symmetric q-Starlike and Symmetric q-Convex Functions
In this paper, by using the concept of the symmetric q-difference operator, we introduce certain classes of symmetric q-starlike and symmetric q-convex functions. Convolution results, coefficient estimates, and FeketeâSzegö inequalities for the analytic functions belonging to these classes are obtained
On differential sandwich theorems of analytic functions defined by certain linear operator
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results
On Certain Class of BazileviÄ Functions Associated with the Lemniscate of Bernoulli
Making use of the principle of subordination, we introduce a certain class of multivalently BazilevicË functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and FeketeâSzegö problem for this class
Some Properties of Certain Classes of Meromorphic Multivalent Functions Defined by Subordination
In this paper, we define two classes of meromorphic multivalent functions in the punctured disc U*=w∈C:0<|w|<1 by using the principle of subordination. We investigate a number of useful results including subordination results, some connections with a certain integral operator, sandwich properties, an inclusion relationship, and Fekete-Szegö inequalities for the functions belonging these classes. Our results are connected with those in several earlier works, which are related to this field of Geometric Function Theory (GFT) of Complex Analysis