RADII PROPERTIES FOR SUBCLASSES OF CONVEX-FUNCTIONS

Authors
SILVERMAN H SILVIA EM
Citation
H. Silverman et Em. Silvia, RADII PROPERTIES FOR SUBCLASSES OF CONVEX-FUNCTIONS, Journal of mathematical analysis and applications, 194(2), 1995, pp. 428-436
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
194
Issue
2
Year of publication
1995
Pages
428 - 436
Database
ISI
SICI code
0022-247X(1995)194:2<428:RPFSOC>2.0.ZU;2-Q
Abstract
A function f(z) = z + ... is said to be in D if Re f'(z) greater than or equal to \z f ''(z)\, \z\ < 1. Using extreme point theory, the auth ors determine the largest disks \z\ less than or equal to beta = beta( (alpha)) for which f(beta z)/beta <is an element of D when f is convex of order alpha or when Re f'(z) > alpha, 0 less than or equal to alph a < 1. (C) 1995 Academic Press, Inc.