Quasi-potential functions associated with orthogonal polynomials
type: Item
instance of: scholarly article
title: Quasi-potential functions associated with orthogonal polynomials
zbMATH Open document ID: 0879.42016
published in: Doklady Mathematics
publication date: 1997-10-08T00:00:00Z
review text: This is a survey on results on estimates of the partial sums of so-called quasipotential functions \(F(x,y;\lambda)\) associated with systems of orthogonal polynomials in \((-1,1)\) with respect to nonnegative finite Borel measures. If \(\{p_n\}^\infty_1\), \(\{q_n\}^\infty_1\) are such systems of orthogonal polynomials then \(F\) is defined by \(F(x,y;\lambda)= \sum^\infty_{k=0}\lambda_kp_k(x)q_k(y)\), \(\lambda_k\in\mathbb{R}\), \(k=0,1,\dots\)\ . Two theorems are formulated (without proof).
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1037715
zbMATH Keywords: quasipotential functions
zbMATH Keywords: orthogonal polynomials
author: B. P. Osilenker
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1037715