QUADRATIC HYPERBOLICITY PRESERVERS AND MULTIPLIER SEQUENCES

被引：1

作者：

Bates, R. ^{[1
]}

Yoshida, R. ^{[2
]}

机构：

[1] 326 Baldwin Rd,251, Odenton, MD 21113 USA

[2] Univ Hawaii Manoa, 2500 Campus Rd, Honolulu, HI 96822 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 01期

关键词：

Laguerre-Polya class; multiplier sequences; linear operators;

D O I：

10.1216/RMJ-2016-46-1-51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known (see [4, Branden, Lemma 2.7]) that a necessary condition for T := Sigma Q(k)(x)D-k to be hyperbolicity preserving is that Q(k)(x) and Q(k-1)(x) have interlacing zeros. We characterize all quadratic linear operators; as a consequence, we find several classes of the P-n-multiplier sequence.

引用

页码：51 / 72

页数：22

共 50 条

[41] ON THE QUADRATIC SPANS OF DEBRUIJN SEQUENCES
CHAN, AH
GAMES, RA
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (04) : 822 - 829
[42] On the quadratic span of binary sequences
Rizomiliotis, P
Kolokotronis, N
Kalouptsidis, N
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (05) : 1840 - 1848
[43] PROPERTY OF QUADRATIC FAREY SEQUENCES
YAJIMA, A
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (01): : 25 - 28
[44] Lucas sequences and quadratic orders
Franz Halter-Koch
[J]. Archiv der Mathematik, 2013, 100 : 417 - 430
[45] Quadratic sequences and powers of ideals
Wang, HJ
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (10) : 4965 - 4983
[46] QUADRATIC RESIDUES IN FIBONACCI SEQUENCES
Gica, Alexandru
[J]. FIBONACCI QUARTERLY, 2008, 46-47 (01): : 68 - 72
[47] ON THE QUADRATIC SPANS OF PERIODIC SEQUENCES
CHAN, AH
GAMES, RA
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1990, 435 : 82 - 89
[48] Lucas sequences and quadratic orders
Halter-Koch, Franz
[J]. ARCHIV DER MATHEMATIK, 2013, 100 (05) : 417 - 430
[49] On the quadratic span of binary sequences
Rizomiliotis, P
Kolokotronis, N
Kalouptsidis, N
[J]. 2003 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 2003, : 377 - 377
[50] Camel sequences and quadratic residues
Gurvich, VA
Sheng, L
[J]. DISCRETE APPLIED MATHEMATICS, 2002, 124 (1-3) : 73 - 89

← 1 2 3 4 5 →