14 research outputs found
Differential inequalities for meromorphic p-valent functions associated with generalized integral operator
In this paper the author introduced a new generalized integral operator for meromorphic p-valent functions in U*={z:z in C and 0<|z|<1. The object of this paper is to give an application of this operator to the differential inequalities
Hadamard Product Concerning Certain Meromorphic Functions
In this paper the authors introduced a new generalized differintegral operator for meromorphic univalent functions in U* = {z : z ∈ C, 0 < |z| < 1}. The objective of this paper is to establish certain results concerning the Hadamard product of functions in the classes ∑^{∗,m}_{μ,λ} (α, β , γ, k) and ∑^h_{μ,λ} (α, β , γ, k)
Fekete-Szegö inequalities for certain subclasses of meromorphic functions of complex order
In this paper, we obtain Fekete-Szegö inequalities for a certain class of meromorphic functions f(z). Sharp bounds for the Fekete-Szegö functional |a1-μa02|are obtained
Differential sandwich theorems for higher-order derivatives of p-valent functions involving a generalized differential operator
In the present article, we obtain some applications of first order differential subordination, superordination and sandwich results for higher-order derivatives of p-valent functions involving a generalized differential operator. Some of our results improve and generalize previously known results
Properties of certain subclass of p-valent meromorphic functions associated with certain linear operator
We investigate several inclusion relationships of certain subclass of p-valent meromorphic functions defined in the punctured unit disc, having a pole of order p at the origin. The subclass under investigation is defined by using certain linear operator defined by combining two integral operators
SANDWICH RESULTS FOR P-VALENT MEROMORPHIC FUNCTIONS ASSOCIATED WITH HURWITZ-LERECH ZETA FUNCTION
[[abstract]]Using the principle of subordination, in the present paper we obtain the sharp subordination and superordination-preserving properties of some convex combinations associated with a linear operator in the open unit disk. The sandwich-type theorem on the space of meromophic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions
Inclusion and Subordination Properties for Classes of Multivalent Functions Involving Differ-Integral Operator
In this paper, using the linear operator dλ ,l (a, c, μ ) defined by a convolution product [2] we introduced and studied a general p,m class of multivalent functions in the open unit disc introduced by using the concept of the subordination. The main results we obtained deals with inclusion properties between these classes, and with some general subordination properties connected with the mentioned operator. All the results are sharp, the best possible, and are followed by special cases connected with the new defined classes, and other applications in the theory of multivalent and univalent functions