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 Some Univalence Conditions of a Certain General Integral Operator

2020 ◽  
Vol 13 (5) ◽  
pp. 1285-1299
Author(s):  
Camelia Barbatu ◽  
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, g, h and k in the open unit disk U, weconsider the general integral operator Tn, 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 erb’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.

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 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.

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 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 Some properties for a general integral operator

2016 ◽  
Vol 32 (1) ◽  
pp. 113-121
Author(s):  
ADRIANA OPREA ◽  
◽  
DANIEL BREAZ ◽  
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Convexity Properties

For certain classes of analytic functions in the open unit disk U, we study some convexity properties for a new general integral operator. Several corollaries of the main results are also considered.

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 On An Integral Operator

2014 ◽  
Vol 22 (3) ◽  
pp. 169-178
Author(s):  
Virgil Pescar ◽  
Daniel Breaz
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral ◽  
General Integral Operator

Abstract In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.

Sign in / Sign up

Export Citation Format

Share Document