POWER-SERIES HAVING TAILS WITH ONLY REAL NONPOSITIVE ZEROS

Authors
OSTROVSKII IV
Citation
Iv. Ostrovskii, POWER-SERIES HAVING TAILS WITH ONLY REAL NONPOSITIVE ZEROS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(12), 1997, pp. 1257-1262
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
12
Year of publication
1997
Pages
1257 - 1262
Database
ISI
SICI code
0764-4442(1997)325:12<1257:PHTWOR>2.0.ZU;2-H
Abstract
If for all sufficiently large n the n(th) tail of the power series of an entire function f has only real nonpositive zeroes, then logM(r,f)l ess than or equal to 1/2log2(logr)(2)+Omicron(logr), r-->infinity, Thi s bound is close to the title best possible.