Generalized the Pommerenke integral operators

Rabha W. Ibrahim, Maslina Darus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The object of this paper is to study topological properties such as boundedness, compactness and geometric properties such as starlikeness and convexity for two fractional integral operators of Volterra-Type in the open unit disk. These operators are generalization of the Pommerenke integral operators. The boundedness and compactness are discussed in the space B log.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages684-690
Number of pages7
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

void ratio
operators
convexity

Keywords

  • analytic function
  • convex function
  • Fractional integral operator
  • starlike function
  • unit disk
  • univalent function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ibrahim, R. W., & Darus, M. (2014). Generalized the Pommerenke integral operators. In AIP Conference Proceedings (Vol. 1602, pp. 684-690). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882559

Generalized the Pommerenke integral operators. / Ibrahim, Rabha W.; Darus, Maslina.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 684-690.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ibrahim, RW & Darus, M 2014, Generalized the Pommerenke integral operators. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 684-690, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882559
Ibrahim RW, Darus M. Generalized the Pommerenke integral operators. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 684-690 https://doi.org/10.1063/1.4882559
Ibrahim, Rabha W. ; Darus, Maslina. / Generalized the Pommerenke integral operators. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 684-690
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