Christian Hägg

activity

20162022

most citedRodrigues' descendants of a polynomial and Boutroux curves

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2022

Introducing isodynamic points for binary forms and their ratios

Christian Hägg, Boris Shapiro, Michael Shapiro

The isodynamic points of a plane triangle are known to be the only pair of its centers invariant under the action of the Mobius group on the set of triangles. Generalizing this cla…

math.CA2021★ 1 cited

Rodrigues' descendants of a polynomial and Boutroux curves

Rikard Bøgvad, Christian Hägg, Boris Shapiro

Motivated by the classical Rodrigues' formula, we study the root asymptotic of the polynomial sequence $R_{[α n], n, P} (z) = \frac{d ^{[α n]} P ^{n} ( z )}{d z ^{[α n]}}, n = 0, 1, \dots$ where ${P(…

math.CA2016

A refinement of Pólya's method to construct Voronoi diagrams for rational functions

Rikard Bögvad, Christian Hägg

Given a complex polynomial $P$ with zeroes $z_{1}, \dots, z_{d}$ , we show that the asymptotic zero-counting measure of the iterated derivatives $Q^{(n)}, n = 1, 2, \dots$ , where $Q = R / P$ …