Generalized classes of starlike and convex functions of order α. (1985)

• Record Type: Journal Article
• Authors: Owa, Shigeyoshi; Shen, C. Y.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 8:Number 3(1985)
• Page Start: 455
• Page End: 467
• Publication Date: 1985
• Subjects: subordination -- fractional derivative -- fractional integral -- generalized Libera operator; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171285000503
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We have introduced, in this paper, the generalized classes of starlike and convex functions of orderα 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.