A generic formula for the values at the boundary points of monic classical orthogonal polynomials
作者：
Highlights：
•
摘要
In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric typeσ(x)yn″(x)+τ(x)yn′(x)-λnyn(x)=0.In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition.
论文关键词：33C45,33C20,33F10,Differential equation of hypergeometric type,Hypergeometric functions,Hypergeometric identities,Rodrigues type formula,Weight function,Pearson's distribution,Jacobi, Laguerre, Bessel and Hermite polynomials
论文评审过程：Received 28 November 2004, Revised 20 March 2005, Available online 4 June 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2005.04.024
