A class of Newton maps with Julia sets of Lebesgue measure zero

Mareike Wolff

Let $g(z)={\int }_0^{z}p(t)\exp (q(t))dt+c$ where $p,q$ are polynomials and $c\in \mathbb{C}$, and let $f$ be the function from Newton's method for $g$. We show that under suitable assu…