On functions K and E generated by a sequence of moments

Avner Kiro, Mikhail Sodin

We study the asymptotic behaviour of the entire function \[ E(z) = \sum_{n\ge 0} \frac{z^n}{γ(n+1)} \] and the analytic function \[ K(z) = \frac1{2π{\rm i}}\, \int_{c-{\rm i}\infty…