3 papers
math.CV2026
Zero asymptotics for successive derivatives of hyperexponential functions with finite essential singularities
Christian Hägg, Boris Shapiro
Pólya's shire theorem identifies the final set of zeros of successive derivatives of an arbitrary meromorphic function with at least one pole with the Voronoi diagram of its finite…
math.CV2026
Voronoi limit measures for iterates of constant-coefficient differential operators on rational functions with simple poles
Bosco Nyandwi, Christian Hägg, Celestin Kurujyibwami +1
Bøgvad and Hägg proved that for a rational function with simple poles, the zeros of successive derivatives accumulate on the Voronoi diagram of the pole set, and the normalized zer…
math.CA2017
The asymptotic zero-counting measure of iterated derivaties of a class of meromorphic functions
Christian Hägg
We give an explicit formula for the logarithmic potential of the asymptotic zero-counting measure of the sequence $\left\{\frac{\mathrm{d}^n}{\mathrm{d}z^n}\left(R(z)\exp{T(z)}\rig…