Generalized Classes of Starlike and Convex Functions of Order α

Peer reviewed: 
Yes, item is peer reviewed.
Scholarly level: 
Faculty/Staff
Final version published as: 

International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 3, Pages 455-467
http://dx.doi.org/10.1155/S0161171285000503

Date created: 
1985
Keywords: 
Subordination
Fractional derivative
Fractional integral
Generalized Libera operator
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.

Language: 
English
Document type: 
Article
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