Asymptotics of recurrence coefficients for orthonormal polynomials on the line--Magnus's method revisited期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Asymptotics of recurrence coefficients for orthonormal polynomials on the line--Magnus's method revisited

Authors:	S B Damelin

Institution:	Department of Mathematics and Computer Science, Georgia Southern University, P. O. Box 8093, Statesboro, Georgia 30460

Abstract:	We use Freud equations to obtain the main term in the asymptotic expansion of the recurrence coefficients associated with orthonormal polynomials for weights $w=W\exp(-Q)$ on the real line where is an even polynomial of fixed degree with nonnegative coefficients or where $Q(x) =\exp(x^{2m}),\, m\geq 1$ . Here $W(x)=\vert x\vert^{\rho}$ for some real $\rho>-1$ .

Keywords:	Asymptotics entire functions of finite and infinite order Erd\H{o}s weights Freud weights orthogonal polynomials recurrence coefficients

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文