scholarly journals Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator

Filomat ◽  
2018 ◽  
Vol 32 (6) ◽  
pp. 2101-2114 ◽  
Author(s):  
H.M. Srivastava ◽  
Abdul Juma ◽  
Hanaa Zayed
Keyword(s):  
Integral Operator ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
New Family ◽  
Univalence Criteria

The main object of this paper is to introduce and study systematically the univalence criteria of a new family of integral operators by using a substantially general form of the widely-investigated Srivastava-Attiya operator. In particular, we derive several new sufficient conditions of univalence for this generalized Srivastava-Attiya operator. Relevant connections with other related earlier works are also pointed out.

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 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.

Compactness criteria for fractional integral operators

2019 ◽  
Vol 22 (5) ◽  
pp. 1269-1283 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Mieczysław Mastyło ◽  
Alexander Meskhi
Keyword(s):  
Integral Operator ◽  
Measure Space ◽  
Fractional Integral ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Bounded Domains ◽  
Lebesgue Spaces ◽  
Fractional Integral Operators ◽  
Rectifiable Curves ◽  
Necessary And Sufficient

Abstract We establish necessary and sufficient conditions for the compactness of fractional integral operators from Lp(X, μ) to Lq(X, μ) with 1 < p < q < ∞, where μ is a measure on a quasi-metric measure space X. As an application we obtain criteria for the compactness of fractional integral operators defined in weighted Lebesgue spaces over bounded domains of the Euclidean space ℝn with the Lebesgue measure, and also for the fractional integral operator associated to rectifiable curves of the complex plane.

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 Upper and lower bounds of integral operator defined by the fractional hypergeometric function

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Muhammad Zaini Ahmad ◽  
Hiba F. Al-Janaby
Keyword(s):  
Integral Operator ◽  
Hypergeometric Function ◽  
Lower Bounds ◽  
Analytic Functions ◽  
Hypergeometric Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Holomorphic Functions ◽  
Upper And Lower Bounds ◽  
Distortion Theorems

AbstractIn this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.

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 general integral operators involving normalized Dini functions

Filomat ◽  
2020 ◽  
Vol 34 (7) ◽  
pp. 2203-2216
Author(s):  
Muhey Din ◽  
Mohsan Raza ◽  
Erhan Deniz
Keyword(s):  
Unit Disc ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disc ◽  
General Integral ◽  
Univalence Criteria

In this paper our aim is to deduce some sufficient conditions for integral operators involving normalized Dini functions to be univalent in the open unit disc. The key tools in our proofs are the generalized versions of the well-known Ahlfor?s and Becker?s univalence criteria and some inequalities for the normalized Dini functions.

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 Newp-Valent Meromorphic Function Involving Certain Differential and Integral Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Aabed Mohammed ◽  
Maslina Darus
Keyword(s):  
Differential Operator ◽  
Meromorphic Function ◽  
Integral Operator ◽  
Sufficient Conditions ◽  
Integral Operators

We define new subclasses of meromorphicp-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a generalp-valent meromorphic function. Then we prove the sufficient conditions for the function in order to be in the new subclasses.

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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