In this paper subordination and inclusion relations are studied for some subclasses of multivalent meromorphic functions in the punctured unit disc having a pole of order p at the origin. The subclasses under investigation are defined through combinations and iterations of a meromorphic analogue of the Cho–Kwon–Srivastava operator for normalized analytic functions. Specially, emphasis is given ...

By making use of the generalized differential operator, the authors derive the subordination and superordination results for certain normalized analytic functions in the open unit disk. Many of the well-known and new results are shown to follow as special cases of our results. 1 Preliminaries Let H be the class of functions analytic in the open unit disc U = {z : | z |< 1}. Let H(a, n) be the s...

In this present investigation, we consider the subclass of analytic and bi-univalent functions associated with salagean operator consisting of the function class Σ in the unit open disk, which satisfies the qusi-subordination conditions. Also we obtain the first two Taylor-Maclaurin coefficients for functions in this new subclass. Mathematics Subject Classification: 30C45, 30C50

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.

For normalized analytic functions in the unit disk, we consider subclasses of bounded turning. The geometric representation is introduced, the radii of convexity (close to convex) are calculated and some subordination relations are suggested. Moreover, the upper bound of the pre-Schwarzian norm for these functions is computed. AMS subject classifications: 30C45