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

• Autorzy: Rabha W. Ibrahim , Muhammad Zaini Ahmad , Hiba F. Al-Janaby
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Analytic function; Univalent function; Fractional integral operator; Subordination; Superordination; fractional hypergeometric function; Unit disk

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-07-29

zaakceptowano

2015-09-10

online

2015-11-04

Twórcy

autor

Rabha W. Ibrahim

• of Computer Science and Information Technology, University Malaya,
  50603 Kuala Lumpur, Malaysia

autor

Muhammad Zaini Ahmad

• Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia

autor

Hiba F. Al-Janaby

• Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia

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Identyfikatory

DOI

10.1515/math-2015-0071