Representations of analytic functions as infinite products and their application to numerical computations

Marcin Mazur, Bogdan V. Petrenko

Let $D$ be an open disk of radius $\le 1$ in $\mathbb{C}$, and let $({\epsilon }_n)$ be a sequence of $\pm 1$. We prove that for every analytic function $f:D\to \mathbb{C}$ without zeros in…