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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Vydáno v:Open mathematics (Warsaw, Poland) Ročník 13; číslo 1
Hlavní autoři: Ibrahim, Rabha W., Ahmad, Muhammad Zaini, Al-Janaby, Hiba F.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Warsaw De Gruyter Open 04.11.2015
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
De Gruyter
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2015-0071