CONVOLUTION CONDITIONS FOR CERTAIN SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS

In the present paper we introduce two subclasses MSp q;λ(b; A; B) and MKp q;λ(b; A; B) of meromorphic multivalent functions by using q-derivative operator defined in the punctured unit disc. Also, we derive several properties including convolution properties, the necessary and sufficient condition and coefficient estimates for these subclasses

CONVOLUTION PROPERTIES FOR CERTAIN SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS BY MEANS OF CASSINIAN OVALS

In the present paper we introduce two new sub-categories MS∗q,η(p, s; d) and MK q,η(p, s; d) for a variety of meromorphic operations using a q-derivative operator defined on a perforated unit disk. We use Cassinian Oval √1 + dz with d ∈ (0, 1] as a subordinant function. We also find the necessary and sufficient conditions for the activities of these clauses

Sharp bounds of Fekete-Szegő functional for quasi-subordination class

In the present paper, we introduce a certain subclass q(λ, γ, h) of analytic functions by means of a quasi-subordination. Sharp bounds of the Fekete-Szegő functional for functions belonging to the class q(λ, γ, h) are obtained. The results presented in the paper give improved versions for the certain subclasses involving the quasi-subordination and majorization