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.
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页码：51 / 72
页数：22
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