scholarly journals A New General Integral Operator Defined by Al-Oboudi Differential Operator

2009 ◽  
Vol 2009 (1) ◽  
pp. 158408 ◽  
Author(s):  
Serap Bulut
Keyword(s):  
Differential Operator ◽  
Integral Operator ◽  
General Integral ◽  
General Integral Operator

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 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 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.

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