NOTES ON MULTIVALENT-FUNCTIONS

Authors
NUNOKAWA M OWA S SAITOH H
Citation
M. Nunokawa et al., NOTES ON MULTIVALENT-FUNCTIONS, Indian Journal of Pure and Applied Mathematics, 26(8), 1995, pp. 797-805
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
26
Issue
8
Year of publication
1995
Pages
797 - 805
Database
ISI
SICI code
0019-5588(1995)26:8<797:NOM>2.0.ZU;2-W
Abstract
The purpose of the present paper is to prove the following result: The orem - Let p greater than or equal to 3. If f(z) = z(p) + Sigma(n=p+1) (infinity) a(n)z(n) is analytic in \z\ < 1 and Re f((p))(z) > 0 in \z\ < 1, then f(z) is p-valently starlike in \z\ < 1.