On the polynomial moment problem

DOI10.4310/MRL.2003.v10.n3.a9zbMath1043.30021arXivmath/0205134OpenAlexW2113207912MaRDI QIDQ1429234

Fedor Pakovitch

Publication date: 18 May 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205134

zbMATH Keywords

momentscompositionspolynomialsfunctional equations.Poincaré center-focus problempolynomial Abel equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Qualitative theory for ordinary differential equations (34C99) Laplace transform (44A10) Moment problems and interpolation problems in the complex plane (30E05) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Polynomials and rational functions of one complex variable (30C10)

Related Items (11)

The center problem and composition condition for Abel differential equations ⋮ On polynomials orthogonal to all powers of a Chebyshev polynomial on a segment ⋮ Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ An explicit bound of the number of vanishing double moments forcing composition ⋮ Parametric centers for trigonometric Abel equations ⋮ Generalized ‘second Ritt theorem’ and explicit solution of the polynomial moment problem ⋮ Cauchy-type integrals of algebraic functions ⋮ Solution of the parametric center problem for the Abel differential equation ⋮ Center conditions at infinity for Abel differential equations ⋮ Universal curves in the center problem for Abel differential equations ⋮ On polynomials orthogonal to all powers of a given polynomial on a segment

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