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

In 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 introd...

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Vol. 13; no. 1
Main Authors: Ibrahim, Rabha W., Ahmad, Muhammad Zaini, Al-Janaby, Hiba F.
Format: Journal Article
Language:English
Published: Warsaw De Gruyter Open 04.11.2015
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
De Gruyter
Subjects:
Analytic function
Analytic functions
fractional hypergeometric function
Fractional integral operator
Hypergeometric functions
Integrals
Lower bounds
Mathematical analysis
Operators (mathematics)
Subordination
Superordination
Unit disk
Univalent function
ISSN:2391-5455, 2391-5455
Online Access:Get full text
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Summary:In 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.
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2015-0071