Univalence criteria for a general integral operator

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Erhan Deniz
Keyword(s):  
Integral Operator ◽  
General Integral ◽  
Significant Relationships ◽  
General Integral Operator ◽  
Univalence Criteria

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

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 of New General Integral Operator Defined by the Ruscheweyh Type q-Difference Operator

2020 ◽  
Vol 13 (4) ◽  
pp. 861-872
Author(s):  
Suhila Elhaddad ◽  
Huda Aldweby ◽  
Maslina Darus
Keyword(s):  
Integral Operator ◽  
Difference Operator ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
General Integral ◽  
New Family ◽  
Analytical Functions ◽  
General Integral Operator ◽  
Univalence Criteria

In this study , by employing the Ruscheweyh type q-analogue operator we consider a new family of integral operators on the space of analytical functions. For this family, we  demonstrate some sufficient conditions of univalence criteria on the class of analytical functions.

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 Univalence of a New General Integral Operator Associated with theq-Hypergeometric Function

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Huda Aldweby ◽  
Maslina Darus
Keyword(s):  
Integral Operator ◽  
Hypergeometric Function ◽  
Hypergeometric Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
General Integral ◽  
New Family ◽  
General Integral Operator ◽  
Univalence Criteria

Motivated by the familiarq-hypergeometric functions, we introduce a new family of integral operators and obtain new sufficient conditions of univalence criteria. Several corollaries and consequences of the main results are also pointed out.

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 Univalence criteria for a general integral operator

2021 ◽  
Vol 37 (1) ◽  
pp. 23-33
Author(s):  
CAMELIA BARBATU ◽  
DANIEL BREAZ
Keyword(s):  
Integral Operator ◽  
Recent Work ◽  
Sufficient Conditions ◽  
Open Disk ◽  
General Integral ◽  
General Integral Operator ◽  
Univalence Criteria

"The main object of this paper is to give sufficient conditions for the general integral operator Tn, to be univalent in the open disk U, when gi, hi, ki ∈ Gbi for all i = 1, n. This general integral operator was considered in a recent work [Barbatu, C. and Breaz, D., ˘ Classes of an univalent integral operator, Studia Univ. Babes¸-Bolyai Math., accepted]. 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 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.

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