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 On the univalence of two general integral operators

Filomat ◽  
2015 ◽  
Vol 29 (7) ◽  
pp. 1581-1586
Author(s):  
Erhan Deniz
Keyword(s):  
Unit Disk ◽  
Unit Disc ◽  
Univalent Functions ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
General Integral

In this paper, we define two new general integral operators in the unit disc U. The main object of this paper is to give sufficient conditions for these integral operators, which are defined here by means of the normalized form of univalent functions and belongs to some special subclasses of its, to be univalent in the open unit disk U.

scholarly journals Certain Conditions for Starlikeness of Analytic Functions of Koebe Type

2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Saibah Siregar ◽  
Maslina Darus
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Unit Disc ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Subordination Result ◽  
Jack’S Lemma ◽  
Jack's Lemma

For , , we consider the of normalized analytic convex functions defined in the open unit disc . In this paper, we investigate the class , that is, , with is Koebe type, that is, . The subordination result for the aforementioned class will be given. Further, by making use of Jack's Lemma as well as several differential and other inequalities, the authors derived sufficient conditions for starlikeness of the class of -fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in the earlier works are also 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 Geometric Properties of Normalized Hyper-Bessel Functions

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 316
Author(s):  
Khurshid Ahmad ◽  
Saima Mustafa ◽  
Muhey Din ◽  
Shafiq ur Rehman ◽  
Mohsan Raza ◽  
...  
Keyword(s):  
Hardy Spaces ◽  
Unit Disc ◽  
Bessel Functions ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Geometric Properties

In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel 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 Functions starlike with respect to other points

1991 ◽  
Vol 14 (3) ◽  
pp. 451-456 ◽  
Author(s):  
S. Abdul Halim
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disc ◽  
The Real ◽  
Symmetric Points ◽  
Class Of Functions

In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. Forp≤β<1, letSS*(β)be the class of normalised analytic functionsfdefined in the open unit discDsuch thatRezf′(z)/(f(z)−f(−z))>β, for somez ϵ D. In this paper, we introduce 2 other similar classesSC*(β),SSC*(β)as well as give sharp results for the real part of some function forf ϵ SS*(β),SC*(β)andSSC*(β)The behaviour of certain integral operators are also considered.

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 Some new harmonic mappings convex in one direction and their convolution

Filomat ◽  
2019 ◽  
Vol 33 (19) ◽  
pp. 6131-6139
Author(s):  
Chinu Singla ◽  
Sushma Gupta ◽  
Sukhjit Singh
Keyword(s):  
Unit Disc ◽  
Sufficient Conditions ◽  
Harmonic Mappings ◽  
Open Unit ◽  
Open Unit Disc ◽  
Hadamard Products ◽  
New Family ◽  
Convex In One Direction ◽  
A New Technique ◽  
Necessary And Sufficient

In the present article, we construct a new family of locally univalent and sense preserving harmonic mappings by considering a suitable transformation of normalized univalent analytic functions defined in the open unit disc D. We present necessary and sufficient conditions for the functions of this new family to be univalent. Apart from studying properties of this new family, results about the convolutions or Hadamard products of functions from this family with some suitable analytic or harmonic mappings are proved by introducing a new technique which can also be used to simplify the proofs of earlier known results on convolutions of harmonic mappings. The technique presented also enables us to generalize existing such results.

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 Convexity and Spirallikeness Conditions for Two New General Integral Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
H. Özlem Güney ◽  
Serap Bulut
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Sufficient Conditions ◽  
Integral Operators ◽  
General Integral

We define two new general integral operators for certain analytic functions in the unit disc and give some sufficient conditions for these integral operators on some subclasses of analytic functions.

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