Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations

Pub Date : 2024-07-30 DOI:10.1134/s0012266124040037
V. E. Kruglov
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引用次数: 0

Abstract

Using recurrence relations between any three consecutive polynomial eigenfunctions of second-order linear differential equations, the Christoffel–Darboux formulas are derived for the system of polynomial eigenfunctions of these equations.

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二阶线性微分方程多项式特征函数的 Christoffel-Darboux 公式
摘要 利用二阶线性微分方程任意三个连续多项式特征函数之间的递推关系,推导出这些方程的多项式特征函数系统的 Christoffel-Darboux 公式。
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