scholarly journals NEW SUBCLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH HADAMARD PRODUCT

2010 ◽  
Author(s):  
Imran Faisal ◽  
Maslina Darus ◽  
Adem Kilicman
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül
Keyword(s):  
Hilbert Space ◽  
Integral Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Extreme Points ◽  
Space Operator ◽  
Integral Means ◽  
New Class ◽  
Coefficient Inequality ◽  
Hilbert Space Operator

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

scholarly journals On a Class of Meromorphic Functions Related to Cho-Kwon-Srivastava Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
F. Ghanim ◽  
M. Darus
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product ◽  
Similar Transformation

We introduce new classes, Σn,λ*,μ,k(α,β,ρ) and Σn,λμ,k(α,β,ρ), of meromorphic functions defined by means of the Hadamard product of Cho-Kwon-Srivastava operator, and we define here a similar transformation by means of an operator given by Ghanim and Darus, in U={z:0<|z|<1}, and investigate a number of inclusion relationships of these classes. We also derive some interesting properties of these classes.

scholarly journals On Certain Class of Analytic Functions Related to Cho-Kwon-Srivastava Operator

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
F. Ghanim ◽  
M. Darus
Keyword(s):  
Analytic Functions ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Similar Transformation ◽  
Multiplier Transformation

Motivated by a multiplier transformation and some subclasses of meromorphic functions which were defined by means of the Hadamard product of the Cho-Kwon-Srivastava operator, we define here a similar transformation by means of the Ghanim and Darus operator. A class related to this transformation will be introduced and the properties will be discussed.

scholarly journals Classes of Meromorphic Functions Defined by the Hadamard Product

2010 ◽  
Vol 2010 ◽  
pp. 1-11
Author(s):  
J. Dziok
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product ◽  
Partial Sums ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.

scholarly journals On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 210 ◽  
Author(s):  
Suhila Elhaddad ◽  
Maslina Darus
Keyword(s):  
Differential Operator ◽  
Meromorphic Function ◽  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Linear Differential Operator ◽  
Extreme Points ◽  
Growth Coefficient ◽  
Closure Theorems ◽  
Linear Differential

This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

scholarly journals Inclusion Relationships for Certain Subclasses of Meromorphic Functions Defined by Using the Extended Multiplier Transformations

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
R. M. El-Ashwah
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Operator Inclusion ◽  
Inclusion Properties

Let denote the class of analytic functions in the punctured unit disc . Set , and define in terms of the Hadamard product by . In this paper, we introduce several new subclasses of analytic functions defined by means of the operator Inclusion properties of these classes and some applications involving integral operator are also considered.

A New Subclass of p-Valent Meromorphic Functions with Linear Operator

2017 ◽  
Vol 14 (1) ◽  
pp. 647-652
Author(s):  
Yan Chen ◽  
Chuan Qin ◽  
Jian-Zhong Feng
Keyword(s):  
Linear Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Hadamard Products

In this paper, we define a new subclass of p-valent meromorphic functions Qp, mγ, λ(a, s; s, l; h) by using the linear operator Fp, m, γa, c, s, l which defined by Hadamard product (or convolution). Some properties of the class isobtained with the help of meromorphic functions theories. We also derive many results for the Hadamard products of functions belonging to the class.

Inclusion properties of certain subclass of univalent meromorphic functions defined by a linear operator associated with Hurwitz–Lerch zeta function

2017 ◽  
Vol 10 (04) ◽  
pp. 1750066
Author(s):  
F. Ghanim ◽  
R. M. El-Ashwah
Keyword(s):  
Linear Operator ◽  
Zeta Function ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Inclusion Properties ◽  
Lerch Zeta Function

By using a linear operator associated with the Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate certain inclusion relationships of certain subclass of univalent meromorphic functions defined in the punctured unit disc.

MEROMORPHIC FUNCTIONS AND THE HADAMARD PRODUCT

1992 ◽  
Vol 25 (4) ◽  
pp. 859-876
Author(s):  
Zbigniew J. Jakubowski ◽  
Krystyna Zyskowska
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product

SOME PROPERTIES ON A CERTAIN CLASS OF MEROMORPHIC FUNCTIONS RELATED TO CHO–KWON–SRIVASTAVA OPERATOR

2012 ◽  
Vol 05 (04) ◽  
pp. 1250052 ◽  
Author(s):  
Firas Ghanim ◽  
Maslina Darus
Keyword(s):  
Meromorphic Functions ◽  
Hadamard Product ◽  
Similar Transformation

In this work, we study some properties of a certain class of meromorphic functions defined by means of the Hadamard product of Cho–Kwon–Srivastava operator. We also define here a similar transformation by means of an operator given by Ghanim and Darus and study its properties.

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