Generalized Classes of Starlike and Convex Functions of Order α

Owa, Shigeyoshi; Shen, C.Y.

doi:10.1155/S0161171285000503

Resource type

Article

Date created

1985

Authors/Contributors

Author: Owa, Shigeyoshi

Author: Shen, C.Y.

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.

Keywords

Published as

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

Publication details

Publication title

International Journal of Mathematics and Mathematical Sciences

Document title

Generalized Classes of Starlike and Convex Functions of Order α

Date

1985

Volume

8

Issue

3

First page

455

Last page

467

Publisher DOI

10.1155/S0161171285000503

Copyright statement

Copyright is held by the author(s).

Permissions

You are free to copy, distribute and transmit this work under the following conditions: You must give attribution to the work (but not in any way that suggests that the author endorses you or your use of the work); You may not use this work for commercial purposes.

Scholarly level

Faculty/Staff

Peer reviewed?

Yes

Language

English

Member of collection

Statistics and Actuarial Science

Mathematics