In this paper, we define a new general integral operator for certain analytic and p-valent functions in the unit disc U. Using this integral operator, we obtain many known integral operators. Mathematics Subject Classification: 30C45

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

Using the Liu–Owa operator we introduce a new class of multivalent analytic functions defined in the unit disc E. We investigate an inclusion relationship and radius problem for the class of functions of p-valent bounded radius rotations which are defined here by means of a certain integral operator Qβ,p.

In this paper, we introduce a new class of p-valent harmonic functions defined by an integral operator. Coefficient inequalities, distortion bounds for the functions belonging to this class are obtained. The invariance of the class Hp(n, α) under convolution, convex linear combination and also under generalized Bernardi-Libera Livingston integral operator are discussed. 2000 Mathematics Subject...

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.