On the Schlicht Bloch Constant II

被引：0

作者：

Jenkins, JA ^{[1
]}

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1998年 / 47卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the Schlicht Bloch Constant and consists of two parts. In the first, certain qualitative properties of extremal functions ate given. In particular, it is proved that for an extremal function, there always is an extremal disc. In the second, a new explicit numerical bound .57088 for the Schlicht Bloch Constant is given, improving earlier results.

引用

页码：1059 / 1063

页数：5

共 50 条

[31] THE BLOCH CONSTANT OF HOLOMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES
龚升
CARL H. FITZGERALD
Chinese Science Bulletin, 1992, (18) : 1512 - 1515
[32] Bloch constant of holomorphic mappings on the unit polydisk of Cn
Wang JianFei
Liu TaiShun
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (04): : 652 - 659
[33] HIGHER DIMENSIONAL GENERALIZATIONS OF BLOCH CONSTANT AND THEIR LOWER BOUNDS
HAHN, KT
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 179 (MAY) : 263 - 274
[34] On Bloch's constant and two related universal constants
Landau, E
MATHEMATISCHE ZEITSCHRIFT, 1929, 30 : 608 - 634
[35] ON THE OPTIMAL CONSTANT FOR THE BERGMAN PROJECTION ONTO THE BLOCH SPACE
Perala, Antti
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2012, 37 (01) : 245 - 249
[36] Quasienergy states for a Bloch electron in a constant electric field
Zak, J
JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (43) : 8295 - 8301
[37] COMPUTER SIMULATION OF BLOCH LINE AND BLOCH WALL DYNAMICS BY LUMPED-CONSTANT MODEL.
Fujimoto, K.
Konishi, S.
IEEE translation journal on magnetics in Japan, 1985, TJMJ-1 (09): : 1144 - 1145
[38] Bloch Constant of Holomorphic Mappings on the Unit Ball of ℂn*
Jianfei Wang
Taishun Liu
Chinese Annals of Mathematics, Series B, 2007, 28 : 677 - 684
[39] Bloch constant of holomorphic mappings on the unit polydisk of ℂn
JianFei Wang
TaiShun Liu
Science in China Series A: Mathematics, 2008, 51 : 652 - 659
[40] Nonperturbative solution for Bloch electrons in constant magnetic fields
Trellakis, A
PHYSICAL REVIEW LETTERS, 2003, 91 (05)

← 1 2 3 4 5 →