In this paper we introduce a new subclass of analytic functions defined through convolution. We obtain the sharp upper bounds for the coefficient functional corresponding to the k root transformation for the function f in this class. Similar problems are investigated for the inverse function and z f(z) . The results of this paper generalise the work of earlier researchers in this direction. AMS...

The aim of this paper is to establish the coefficient bounds for certain classes of analytic functions associated with q-difference operator. Certain applications of these results for the functions defined through convolution are also obtained. 2010 Mathematics Subject Classifications: Primary 30C45; Secondary 30C50

In this paper, a necessary and sufficient coefficient are given for functions in a class of complex valued meromorphic harmonic univalent functions of the form f = h + ḡ using Salagean operator. Furthermore, distortion theorems, extreme points, convolution condition and convex combinations for this family of meromorphic harmonic functions are obtained. Keywords—Harmonic mappings, Meromorphic fu...

In this paper, we introduce a new class of p-valent harmonic functions defined by an integral operator. Coefficient inequalities, distortion bounds for the functions belonging to this class are obtained. The invariance of the class Hp(n, α) under convolution, convex linear combination and also under generalized Bernardi-Libera Livingston integral operator are discussed. 2000 Mathematics Subject...

the weighted semigroup algebra mb (s, w) is studied via its identification with mb (s) together with a weighted algebra product *w so that (mb (s, w), *) is isometrically isomorphic to (mb (s), *w). this identification enables us to study the relation between regularity and amenability of mb (s, w) and mb (s), and improve some old results from discrete to general case.

Making use of convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class TP ( , ). Furthermore, partial sums fk(z) of functions f(z) in the class P  ( , ) are considered and sharp lower bounds for the ratios of real part of ...

The purpose of the present paper is to study a new subclass of harmonic univalent functions associated with fractional calculus operator. We obtain coefficient conditions, distortion bounds and extreme points for this class and discuss a class preserving integral operator. We also show that the class studied in this paper is closed under convolution and convex combination. The results obtained ...

Corresponding Author: Rabha W. Ibrahim Faculty of Computer Science and IT, University Malaya, 50603 Kuala Lumpur, Malaysia Email: [email protected] Abstract: The paper aims to introduce a certain subclass S * g(A,B,α,p,j) of the class Σ * (p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two f...

In the present paper, we introduce two new subclasses P sc (λ, α) and Q sc (λ, α) of analytic functions with respect to 2k-symmetric conjugate points. Such results as integral representations, convolution conditions and coefficient inequalities for these classes are provided. 2000 Mathematics Subject Classification. Primary 30C45.

We introduce and investigate a new subclass M(m)(1)(θ, λ, η) of meromorphic spirallike functions. Such results as integral representations, convolution properties, and coefficient estimates are proved. The results presented here would provide extensions of those given in earlier works. Several other results are also obtained.