Generalized classes of starlike and convex functions of order α
Shigeyoshi Owa1and C. Y. Shen2
Received01 Jun 1985
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.