3 problems

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The Composition conjecture for polynomial Abel equations
Let $p=P'$ and $q=Q'$ be polynomials, and consider the Abel equation (C) on the interval with endpoints $a$ and $b$ . The Polynomial Composition condition (PCC) is that there exist…
Conjecturerefutedcenter-focus-problem composition-condition polynomial-abel-equationsarXiv posted 2 days ago
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The composition-condition conjecture for parametric centers of polynomial Abel equations
Composition-condition conjecture. For a polynomial Abel equation, having a parametric center is equivalent to satisfying the Composition condition (CC).
Conjectureopenabel-equations center-focus-problem polynomial-dynamicsarXiv posted 2 days ago
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The composition conjecture for polynomial Abel equations
Composition conjecture. The Center and Composition Sets for any polynomial Abel equation coincide.
Conjectureopenabel-equations center-focus-problem polynomial-compositionarXiv posted 2 days ago

The Composition conjecture for polynomial Abel equations