On Conjectures of A. Eremenko and A. Gabrielov for Quasi-Exactly Solvable Quartic

被引：2
|
作者：
Mukhin, Evgeny [1 ]
Tarasov, Vitaly [1 ,2 ]
机构：
[1] Purdue Univ, Indiana Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[2] Steklov Math Inst, St Petersburg Branch, St Petersburg 191023, Russia
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2013年 / 103卷 / 06期
基金：
美国国家科学基金会;
关键词：
one-dimensional Schrodinger operators; quasi-exact solvability; bispectral dual; explicit integration;
D O I：
10.1007/s11005-013-0611-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study polynomials p(x) satisfying a differential equation of the form p''-h'p' + Hp = 0, where h = x (3)/3 + ax and H is a polynomial. We prove a conjecture of A. Eremenko and A. Gabrielov.
引用
收藏
页码：653 / 663
页数：11
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