On polynomials orthogonal to all powers of a given polynomial on a segment

2004/08/02 by Fedor Pakovich, Pakovich, Fedor
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #math.CA #math.CV

paper · pdf · doi:10.48550/arxiv.math/0408019

27 pages, 9 figures

arxiv created 2004/08/02 · openalex publication_date 2004/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the following "polynomial moment problem": for a complex polynomial P(z) and distinct complex numbers a,b to describe polynomials q(z) orthogonal to all integer non-negative powers of P(z) on the segment [a,b].

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