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.

Majorization of starlike and convex functions of complex order involving linear operators

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
G. Murugusundaramoorthy ◽  
K. Thilagavathi
Keyword(s):  
Linear Operator ◽  
Convex Functions ◽  
Analytic Functions ◽  
Linear Operators ◽  
Starlike And Convex Functions ◽  
Complex Order

AbstractThe main object of this present paper is to investigate the problem of majorization of certain class of analytic functions of complex order defined by the Dziok-Raina linear operator. Moreover we point out some new or known consequences of our main result.

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.

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 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 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, ?, ?, ?, ?).

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.

On some analytic functions associated with the linear operators satisfying certain recurring relations

2016 ◽  
Vol 09 (02) ◽  
pp. 1650040 ◽  
Author(s):  
Poonam Sharma ◽  
Aditya K. Bajpai
Keyword(s):  
Linear Operator ◽  
Integral Operator ◽  
Analytic Functions ◽  
Linear Operators

In this paper, associated with convolutions, linear operators [Formula: see text] and [Formula: see text] are defined with the requirement of certain recurring relations. Some results based on analytic functions involving these operators are derived. Taking some specific forms of such operators, results involving the Dziok–Srivastava operator, the Jung–Kim–Srivastava integral operator, the Srivastava–Attiya linear operator and others, are also mentioned.

scholarly journals On differential subordinations for a class of analytic functions defined by a linear operator

2004 ◽  
Vol 2004 (42) ◽  
pp. 2219-2230
Author(s):  
V. Ravichandran ◽  
Herb Silverman ◽  
S. Sivaprasad Kumar ◽  
K. G. Subramanian
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Linear Operators ◽  
Special Cases ◽  
Differential Subordinations

We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.

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.

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