scholarly journals Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator

2015 ◽  
Vol 55 (3) ◽  
pp. 625-639 ◽  
Author(s):  
HANAN ELSAYED DARWISH ◽  
ABD AL-MONEM YOUSOF LASHIN ◽  
SOLIMAN MOHAMMED SOILEH
Keyword(s):  
Integral Operator ◽  
Meromorphic Functions ◽  
Differential Subordinations

scholarly journals Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Xiao-Yuan Wang ◽  
Lei Shi ◽  
Zhi-Ren Wang
Keyword(s):  
Integral Operator ◽  
Zeta Function ◽  
Meromorphic Functions ◽  
Third Order ◽  
Lerch Zeta Function ◽  
Sandwich Type ◽  
Differential Superordination ◽  
Differential Subordinations

The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.

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 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 Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
K. AL-Shaqsi
Keyword(s):  
Integral Operator ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Polylogarithm Function ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Differential Subordinations ◽  
Admissible Functions

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.

scholarly journals Some inclusion relationships of meromorphic functions associated to new generalization of Mittag-Leffler function

Filomat ◽  
2020 ◽  
Vol 34 (5) ◽  
pp. 1545-1556
Author(s):  
Samah Horrigue ◽  
S.M. Madian
Keyword(s):  
Integral Operator ◽  
Meromorphic Functions ◽  
Inclusion Relations

This article is devoted to introduce a new operator ??,k,m ?,?,? using the generalized Mittag-Leffler function. Then, we give meromorphic subclasses associated ??,k,m ?,?,?. Finally, we calculated inclusion relations by using ??,k,m ?,?,? and integral operator F?.

scholarly journals On Certain Classes of Meromorphic Functions Associated with Conic Domains

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Khalida Inayat Noor ◽  
Fiaz Amber
Keyword(s):  
Differential Operator ◽  
Integral Operator ◽  
Unit Disc ◽  
Meromorphic Functions ◽  
Rate Of Growth ◽  
Bounded Boundary Rotation ◽  
Boundary Rotation ◽  
Principle Of Subordination ◽  
Inclusion Results ◽  
Uniformly Bounded

Making use of the concept ofk-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.

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