scholarly journals Univalence of two general integral operators

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 223-229 ◽  
Author(s):  
B.A. Frasin
Keyword(s):  
Unit Disk ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral

In this paper, we give some sufficient conditions for general two integral operators to be univalent in the open unit disk.

scholarly journals Univalence Conditions of Two New Integral Operators on P-Valent Functions

2019 ◽  
Vol 11 (2) ◽  
pp. 63
Author(s):  
Nguyen Van Tuan ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral

For analytic functions in the open unit disk U, we define two new general integral operators. The main object of the this paper is to study these two new integral operators and to determine some sufficient conditions for general p-valent integral operator to be p-th power of a univalent functions.

scholarly journals On the univalence of two general integral operators

Filomat ◽  
2015 ◽  
Vol 29 (7) ◽  
pp. 1581-1586
Author(s):  
Erhan Deniz
Keyword(s):  
Unit Disk ◽  
Unit Disc ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral

In this paper, we define two new general integral operators in the unit disc U. The main object of this paper is to give sufficient conditions for these integral operators, which are defined here by means of the normalized form of univalent functions and belongs to some special subclasses of its, to be univalent in the open unit disk U.

scholarly journals Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
R. Chandrashekar ◽  
Rosihan M. Ali ◽  
K. G. Subramanian ◽  
A. Swaminathan
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Differential Inequalities ◽  
Third Order ◽  
Positive Order

Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are also made to earlier known results.

scholarly journals On Univalence Criteria for a General Integral Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-8
Author(s):  
Vasile Marius Macarie ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Complex Plane ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

We consider a new general integral operator, and we give sufficient conditions for the univalence of this integral operator in the open unit disk of the complex plane. Several consequences of the main results are also shown.

scholarly journals The Relationships Between p−valent Functions and Univalent Functions

2015 ◽  
Vol 23 (1) ◽  
pp. 65-72
Author(s):  
Murat Çağlar
Keyword(s):  
Unit Disk ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk

AbstractIn this paper, we obtain some sufficient conditions for general p−valent integral operators to be the p−th power of a univalent functions in the open unit disk.

scholarly journals Univalence Criteria for a General Integral Operator

2019 ◽  
Vol 27 (2) ◽  
pp. 43-57
Author(s):  
Camelia Bărbatu ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

AbstractIn this paper we introduce a new general integral operator for analytic functions in the open unit disk 𝕌 and we obtain sufficient conditions for univalence of this integral operator.

New univalence criteria for an integral operator with Mocanu’s and Şerb’s lemma

2020 ◽  
Vol 36 (3) ◽  
pp. 373-379
Author(s):  
CAMELIA BARBATU ◽  
DANIEL BREAZ
Keyword(s):  
Integral Operator ◽  
Recent Work ◽  
Unit Disk ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

In this paper we consider a general integral operator for analytic functions in the open unit disk U and we obtain sufficient conditions for univalence of this integral operator, using Mocanu’s and S¸erb’s Lemma. This integral operator was considered in a recent work Barbatu, C. and Breaz, D., [ ˘ The univalence conditions for a general integral operator, Acta Univ. Apulensis Math. Inform., 57 (2019), 133–145]. The results derived in this paper are shown to follow upon specializing the parameters involved in our results. Several corollaries of the main results are also considered.

scholarly journals Geometric properties of a certain general family of integral operators

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 745-754 ◽  
Author(s):  
H.M. Srivastava ◽  
J.K. Prajapat ◽  
Georgia Oros ◽  
Roxana Şendruţiu
Keyword(s):  
Unit Disk ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Geometric Properties ◽  
General Family

In this paper, we give a set of sufficient conditions for the univalence, starlikeness and convexity of a certain newly-defined general family of integral operators in the open unit disk. Relevant connections of the results presented here with those that were obtained in earlier works as well as several interesting corollaries and consequences of the main results are also presented.

scholarly journals Univalence Criteria for Two Integral Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Laura Filofteia Stanciu ◽  
Daniel Breaz
Keyword(s):  
Unit Disk ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Univalence Criteria

We study the univalence conditions for two integral operators to be univalent in the open unit disk. Many known univalence conditions are written to prove our main results.

scholarly journals A Class of Nonlinear Integral Operators Preserving Double Subordinations

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Oh Sang Kwon ◽  
Nak Eun Cho
Keyword(s):  
Unit Disk ◽  
Meromorphic Functions ◽  
Type Theorem ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Nonlinear Integral Operators

The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain integral operators defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also considered.

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