scholarly journals Univalence Conditions Related to a General Integral Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Nicoleta Breaz ◽  
Virgil Pescar
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Positive Real Part ◽  
Positive Real ◽  
Regular Functions ◽  
General Integral ◽  
General Integral Operator

We consider a general integral operator based on two types of analytic functions, namely, regular functions and, respectively, functions having a positive real part. Some univalence conditions for this integral operator are obtained.

scholarly journals Univalence conditions for a general integral operator

2015 ◽  
Vol 23 (1) ◽  
pp. 213-224
Author(s):  
Adriana Oprea ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator

AbstractFor analytic functions in the open unit disk U, we define a new general integral operator. The main object of the this paper is to study this new integral operator and to determine univalence conditions of it. Several corollaries of the main results are also considered.

scholarly journals Classes of an univalent integral operator

2021 ◽  
Vol 66 (2) ◽  
pp. 339-351
Author(s):  
Barbatu Camelia ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator

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

scholarly journals Some univalence conditions related to a general integral operator

2020 ◽  
Vol 28 (2) ◽  
pp. 33-47
Author(s):  
Camelia Bărbatu ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Recent Work ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

AbstractFor some classes of analytic functions f, g, h and k in the open unit disk 𝕌, we consider the general integral operator 𝒢n, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and Şerb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

scholarly journals Univalence criteria for a general integral operator

Filomat ◽  
2020 ◽  
Vol 34 (7) ◽  
pp. 2225-2234
Author(s):  
Camelia Bǎrbatu ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Recent Work ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

For some classes of analytic functions f and 1 in the open unit disk U, we consider the general integral operatorMn, that was introduced in a recent work [2] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu?s and the Pescar?s univalence criteria. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

scholarly journals Univalency and Convexity Conditions for a General Integral Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Serap Bulut ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Open Unit ◽  
Open Unit Disc ◽  
Univalence Condition ◽  
General Integral ◽  
Order Of Convexity ◽  
General Integral Operator ◽  
Convexity Conditions

For analytic functions f and g in the open unit disc 𝕌, a new general integral operator is introduced. The main objective of this paper is to obtain univalence condition and order of convexity for this general integral operator.

scholarly journals Univalence conditions and properties of a new general integral operator

2016 ◽  
Vol 32 (2) ◽  
pp. 157-164
Author(s):  
ROBERTA BUCUR ◽  
◽  
DANIEL BREAZ ◽  
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
Order Of Convexity ◽  
General Integral Operator

In this paper, we obtain univalence conditions and the order of convexity of a new general integral operator defined on the space of normalized analytic functions in the open unit disk U. Also, we give some other properties on the class N(ϕ). Results presented in this paper may motivate further reserch in this fascinating field.

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.

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