Quasi-hadamard Product of Analytic P-valent Functions with Negative Coefficients

Generalizations of modified-Hadamard products of p-valent functions with negative coefficients

Let T (n, p) denote the class of functions of the form f (z) = z p − ∑ ∞ k=n ak+pz k+p (ak+p ≥ 0; p, n ∈ N ) which are analytic and p-valent in the open unit disc U = {z : |z| < 1}. For functions f j (z) ( j = 1, 2) belonging to T (n, p), generalizations of the modified-Hadamard product of f1(z) and f2(z) represented by ( f1∆ f2) (r, s; z) (r, s ∈ R) are introduced. In this paper, we obtain sev...

Inclusion and Neighborhood Properties of a Certain Subclasses of P-valent Functions with Negative Coefficients

By means of Ruscheweyh derivative operator , we introduced and investigated two new subclasses of p-valent analytic functions.The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which ar...

Subclasses of Meromorphically P-valent Functions with Negative Coefficients Associated with a Linear Operator

Abstract The aim of this paper is to investigate various inclusion relations and some other properties of a certain subclasses Λp,k(α,A,B, n) and Λ ∗ p,k(α,A,B, n) of meromorphically p-valent analytic funtions with negative coefficients which are defined here by means of a linear operator. The familier concept of neighborhoods of analytic functions is also extended and applied to the functions ...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

On Certain Subclass of Meromorphic p-valent Functions with Negative Coefficients

We introduce a class Σ∗λ,p,α of meromorphic p-valent functions with negative coefficients. The main object of this paper is to investigate various important properties and characteristics of this class. Further many interesting results for the Hadamard product of functions belonging to the class Σ∗λ,p,α is obtained. 2000 Mathematics Subject Classification: 30C45.