Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Y a,c A,B; p, λ, α of the class A p . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given....

In this paper, we have discussed the meromorphic p-valent functions that satisfy the differential subordinations z(Ip(r, λ)f(z)) (Ip(r, λ)f(z))(j) ≺ (1 + A−B a βz 1 +Bz )(p+ j), z ∈ ∆, where β is complex number and Ip(r, λ) is salagean Operator. Also we study coefficient inequalities and hadamard product (convolution) and found radius of starlikeness and convexity. We investigate some interesti...

In this lecture, we aim at presenting a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function and then investigating its various mapping as well as inclusion properties involving such subclasses of analytic and univalent functions as (for example) k-uniformly convex functions and k-starlike functions. Relevant conne...

‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

n=2 anz n which are analytic in the open unit disk U := {z ∈ C : |z| < 1}. By S and C we denote the subclasses of functions in A which are univalent and convex in U, respectively. Let P be the well-known Carathéodory class of normalized functions with positive real part in U and let P(λ), 0 ≤ λ < 1 be the subclass of P consisting of functions with real part greater than λ. The Hadamard product ...

Keywords: Analytic functions Starlike and convex functions Multivalent functions Hadamard product (or convolution) Coefficient bounds Distortion inequalities Neighborhood properties Non-homogeneous Cauchy–Euler differential equations a b s t r a c t In this paper, by making use of the familiar concept of neighborhoods of p-valently analytic functions, we prove coefficient bounds, distortion ine...

In this paper we introduce a new class H(φ, α, β) of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. Several properties like, the coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated. We further consider a subordination theorem, certain bound...

The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution open unit disk U. Using Hadamard product or convolution, function fs(z) is defined as involving an and expressed terms of functions. Neighborhood properties for are established. Further, by applying a previously introduced linear transformation using extended Libera in...

Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...

The general classes of multivalent starlike, convex, close-to-convex and quasiconvex functions are introduced. These classes provide a unified treatment to various known subclasses. Inclusion and convolution properties are derived using the methods of convex hull and differential subordination. 1. Motivation and Preliminaries Let U = {z : |z| < 1} be the unit disk and H(U) be the class of all a...