3 problems

Let $p=P'$ and $q=Q'$ be polynomials, and let the polynomial moments (1.2) be the moments associated with $P$ and $q$. The Polynomial Composition condition (PCC) is that there exis…

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…

Consider the higher-order Abel equation … with the composition condition that there is a differentiable function $q$ satisfying $q(\omega)=q(0)$ for some $\omega>0$ and … where the…