scholarly journals Univalence criteria for general integral operators using the Struve and Bessel functions

Filomat ◽  
2018 ◽  
Vol 32 (19) ◽  
pp. 6837-6843
Author(s):  
Breaz Daniel ◽  
Tănase Carmen-Ioana
Keyword(s):  
Bessel Functions ◽  
Integral Operators ◽  
General Integral ◽  
Struve Functions ◽  
Univalence Criteria

In this paper we consider the class of Bessel functions and the class of Struve functions. We obtain some univalence criteria for two general integral operators.

scholarly journals Univalence Criteria for some General Integral Operators

2021 ◽  
Vol 29 (1) ◽  
pp. 37-52
Author(s):  
Camelia Bărbatu ◽  
Daniel Breaz
Keyword(s):  
Integral Operators ◽  
General Integral ◽  
Univalence Criteria

Abstract The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.

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.

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.

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 Criteria for Two Integral Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Laura Filofteia Stanciu ◽  
Daniel Breaz
Keyword(s):  
Unit Disk ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Univalence Criteria

We study the univalence conditions for two integral operators to be univalent in the open unit disk. Many known univalence conditions are written to prove our main results.

On integral operators with kernels involving Bessel functions

1966 ◽  
Vol 62 (3) ◽  
pp. 477-484 ◽  
Author(s):  
G. O. Okikiolu
Keyword(s):  
Bessel Functions ◽  
Integral Operators ◽  
Inversion Process ◽  
Image Position

AbstractBy representing integral operators defined by kernels involving Bessel functions as compositions of two operators, we determine their mapping properties and, in one case, derive an inversion process. The operators considered are of the formwhere τ(t) is given respectively by and and in the last three cases the integrals converge in norm.

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