Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator

E. A. Elrifai, H. E. Darwish and A. R. Ahmed

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-25

Abstract:

We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2011/752341.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2011/752341.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:752341

DOI: 10.1155/2011/752341

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().