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

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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 $[a,b].$
27 pages, 9 figures

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Classical Analysis and ODEs, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/72081

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408019
 http://arxiv.org/abs/math/0408019

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arXiv