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

页码：653 / 663

页数：11

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