Generalized classes of starlike and convex functions of order α

Shigeyoshi Owa and C. Y. Shen

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-13

Abstract:

We have introduced, in this paper, the generalized classes of starlike and convex functions of order α by using the fractional calculus. We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes. We have also established some properties about the generalized Libera operator defined on these classes of functions.

Date: 1985
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/8/909424.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/8/909424.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:909424

DOI: 10.1155/S0161171285000503

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 ().