On polynomial solutions of the Heun equation

被引：22

作者：

Gurappa, N ^{[1
]}

Panigrahi, PK ^{[1
]}

机构：

[1] Phys Res Lab, Ahmadabad 380009, Gujarat, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 46期

关键词：

D O I：

10.1088/0305-4470/37/46/L01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By making use of a recently developed method to solve linear differential equations of arbitrary order, we find a wide class of polynomial solutions to the Heun equation. We construct the series solution to the Heun equation before identifying the polynomial solutions. The Heun equation extended by the addition of a term, -sigma/x, is also amenable for polynomial solutions.

引用

页码：L605 / L608

页数：4

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