Disjoint universality connected with differential operators (Q2235892)

Several results about disjoint universality of sequences of operators on the Fréchet space \(H(G)\) of analytic functions on a simply connected domain \(G\) are presented in this paper. The operators under consideration are the \(n\)-th partial sum of the Taylor expansion of \(f \in H(G)\) around \(z\) on \((\alpha + 1)z\) with \(\alpha \in \mathbb{C}, \ \alpha \neq 0\). Their interest comes from universal Taylor series.