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: | , , |
| 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: | |
| ISSN: | 2391-5455, 2391-5455 |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. 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. In this article, we impose some studies with applications for generalized integral operators for normalizedholomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, newsubclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristicsof these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditionsfor subordination and superordination are illustrated. |
| Author | Al-Janaby, Hiba F. Ahmad, Muhammad Zaini Ibrahim, Rabha W. |
| Author_xml | – sequence: 1 givenname: Rabha W. surname: Ibrahim fullname: Ibrahim, Rabha W. organization: 1of Computer Science and Information Technology, University Malaya, 50603 Kuala Lumpur, Malaysia – sequence: 2 givenname: Muhammad Zaini surname: Ahmad fullname: Ahmad, Muhammad Zaini organization: Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia – sequence: 3 givenname: Hiba F. surname: Al-Janaby fullname: Al-Janaby, Hiba F. organization: Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia |
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| SubjectTerms | 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 |
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| Title | Upper and lower bounds of integral operator defined by the fractional hypergeometric function |
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