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

Fedor Pakovich
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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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Fedor Pakovich. 2004-08-02. On polynomials orthogonal to all powers of a given polynomial on a segment. https://arxiv.org/abs/math/0408019

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