scholarly journals Properties of some families of meromorphic multivalent functions involving certain linear operator

Filomat ◽  
2010 ◽  
Vol 24 (3) ◽  
pp. 35-54 ◽  
Author(s):  
M.K. Aouf ◽  
B.A. Frasin
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Hadamard Products ◽  
Class A

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses ?a,c (p, A, B, ?) and ?+a,c (p, A, B, ?) of meromorphically multivalent functions. The main object of this paper is to investigate the various important properties and characteristics of those subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. We also derive many results for the Hadamard products of functions belonging to the class ?+a,c (p, ?, ?, ?, ?).

scholarly journals Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Linear Operator

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Nak Eun Cho
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Linear Operators ◽  
Inclusion Properties

The purpose of the present paper is to investigate some inclusion properties of certain subclasses of analytic functions associated with a family of linear operators, which are defined by means of the Hadamard product (or convolution). Some integral preserving properties are also considered.

scholarly journals Some classes of p-valent analytic functions associated with hypergeometric functions

Filomat ◽  
2015 ◽  
Vol 29 (5) ◽  
pp. 1031-1038 ◽  
Author(s):  
Khalida Noor ◽  
Nasir Khan
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Hypergeometric Functions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Class A ◽  
Radius Problem ◽  
Inclusion Results

We define a linear operator on the class A(p) of p-valent analytic functions in the open unit disc involving Gauss hypergeometric functions and introduce certain new subclasses of A(p) using this operator. Some inclusion results, a radius problem and several other interesting properties of these classes are studied.

scholarly journals New Result of Analytic Functions Related to Hurwitz Zeta Function

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
F. Ghanim ◽  
M. Darus
Keyword(s):  
Analytic Function ◽  
Linear Operator ◽  
Zeta Function ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Hurwitz Zeta Function

By using a linear operator, we obtain some new results for a normalized analytic functionfdefined by means of the Hadamard product of Hurwitz zeta function. A class related to this function will be introduced and the properties will be discussed.

scholarly journals Majorization for A Subclass of β-Spiral Functions of Order α Involving a Generalized Linear Operator

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Afaf A. Ali Abubaker ◽  
Maslina Darus ◽  
Daniel Breaz
Keyword(s):  
Linear Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Class A

Motivated by Carlson-Shaffer linear operator, we define here a new generalized linear operator. Using this operator, we define a class of analytic functions in the unit disk U. For this class, a majorization problem of analytic functions is discussed.

scholarly journals Some results on certain subclasses of analytic functions involving generalized hypergeometric functions and Hadamard product

1992 ◽  
Vol 15 (1) ◽  
pp. 143-148
Author(s):  
Khalida Inayat Noor
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Hypergeometric Functions ◽  
Hadamard Product ◽  
Generalized Hypergeometric Functions ◽  
Hypergeometric Type

By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying relationships between them are established. A variety of characterization results involving a certain functional and some general functions of hypergeometric type are investigated for these classes.

scholarly journals The Application of Generalized Quasi-Hadamard Products of Certain Subclasses of Analytic Functions with Negative and Missing Coefficients

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 620
Author(s):  
En Ao ◽  
Shuhai Li
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Differential Operators ◽  
Closure Properties ◽  
Hadamard Products ◽  
Generalized Differential

In this paper, we introduce a new generalized differential operator using a new generalized quasi-Hadamard product, and certain new classes of analytic functions using subordination. We obtain certain results concerning the closure properties of the generalized quasi-Hadamard products and the generalized differential operators for this new subclasses of analytic functions with negative and missing coefficients.

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.

Differential sandwich theorems of p-valent functions defined by a certain linear operator

2016 ◽  
Vol 53 (2) ◽  
pp. 131-137
Author(s):  
Ping He ◽  
Defei Zhang
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Subordination And Superordination

In this paper we introduce differential subordination and superordination properties for certain subclasses of analytic functions involving certain linear operator, and obtain sandwich-type results for the functions belonging to these classes.

scholarly journals Quasi-Hadamard Product of Certainω-Starlike andω-Convex Functions with respect to Symmetric Points

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Huo Tang ◽  
Guan-Tie Deng
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Symmetric Points

The main purpose of this paper is to derive some results associated with the quasi-Hadamard product of certainω-starlike andω-convex univalent analytic functions with respect to symmetric points.

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