SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO CERTAIN SUBCLASSES OF PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

Authors
SRIVASTAVA HM AOUF MK
Citation
Hm. Srivastava et Mk. Aouf, SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO CERTAIN SUBCLASSES OF PRESTARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS, Computers & mathematics with applications, 30(1), 1995, pp. 53-61
Citations number
15
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
30
Issue
1
Year of publication
1995
Pages
53 - 61
Database
ISI
SICI code
0898-1221(1995)30:1<53:SAOFCO>2.0.ZU;2-P
Abstract
The object of the present paper is to prove various distortion theorem s for the fractional calculus of functions in the subclasses R[alpha, beta] and C[alpha, beta] consisting of prestarlike acid normalized ana lytic functions with negative coefficients. Furthermore, distortion th eorems involving a generalized fractional integral operator for functi ons in the subclasses R[alpha, beta] and C[alpha, beta] are given.