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.

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.

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.

Multivalent and Meromorphic Functions of Bounded Boundary Rotation

1975 ◽  
Vol 27 (1) ◽  
pp. 186-199 ◽  
Author(s):  
Ronald J. Leach
Keyword(s):  
Critical Points ◽  
Analytic Functions ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation

The classVk(p). We generalize the class Vk of analytic functions of bounded boundary rotation [8] by allowing critical points in the unit disc U.Definition. Let f(z) = aqzq + . . . (q 1) be analytic in U. Then f(z) belongs to the class Vk(p) if for r sufficiently close to 1,andWe note that (1.1) implies that / has precisely p — 1 critical points in U.

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 Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson q-Derivative

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 105
Author(s):  
Abdel Moneim Y. Lashin ◽  
Badriah Maeed Algethami ◽  
Abeer O. Badghaish
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Open Unit ◽  
Open Unit Disc ◽  
Inclusion Properties ◽  
Convolution Properties

In this paper, the Jackson q-derivative is used to investigate two classes of analytic functions in the open unit disc. The coefficient conditions and inclusion properties of the functions in these classes are established by convolution methods.

scholarly journals Properties of analytic functions defined by an integral operator

2010 ◽  
Vol 43 (4) ◽  
Author(s):  
Luminiţa-Ioana Cotîrlă
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Open Unit ◽  
Open Unit Disc

AbstractIn this paper we present some properties for the analytic functions in the open unit disc

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 Inclusion Properties of Certain Subclasses of Analytic Functions Defined by Using the Tremblay Fractional Derivative Operator

2021 ◽  
Vol 20 ◽  
pp. 209-216
Author(s):  
Fawzan Ismail Sidky ◽  
Doaa Shokry Mohamed ◽  
Amina Ahmed Awad
Keyword(s):  
Fractional Derivative ◽  
Convex Functions ◽  
Analytic Functions ◽  
Derivative Operator ◽  
Operator Inclusion ◽  
Inclusion Properties

In this paper, we introduce new subclasses of analytic and p-valent functions related to starlike, convex, close-to-convex, and quasi-convex functions by using a p-valent analog of the Tremblay fractional derivative operator. Inclusion relationships for these subclasses are established.

Sign in / Sign up

Export Citation Format

Share Document