On the Asymptotic Expressions for Jacobi and Legendre Polynomials Derived from Finite-Difference Equations
TL;DR: In this article, the Asymptotic Expressions for Jacobi and Legendre Polynomials Derived from Finite Difference Equations (FDE) derived from finite difference equations are discussed.
Abstract: (1926). On the Asymptotic Expressions for Jacobi and Legendre Polynomials Derived from Finite-Difference Equations. The American Mathematical Monthly: Vol. 33, No. 7, pp. 354-361.
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TL;DR: In this paper, the authors show that the convergence and absolute convergence of orthogonal polynomials on infinite intervals and on the untt crrcle can be explained by the convergence of Christoffel functions.
372 citations
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01 Jan 1984TL;DR: In this paper, the continuous and discrete Liouville-Steklov method for proving asymptotic formulas for orthogonal polynomials is discussed, and a short survey of recent results is given.
Abstract: Improvements of the continuous and discrete Liouville-Steklov method for proving asymptotic formulas for orthogonal polynomials are discussed, and a short survey of recent asymptotic results is given
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