19 citations · 19 across the 2 of their papers we have counts for
2 papers
math.DS2006
Virtual Immediate Basins of Newton Maps and Asymptotic Values
Xavier Buff, Johannes Rueckert
Newton's root finding method applied to a (transcendental) entire function f:C->C is the iteration of a meromorphic function N. It is well known that if for some starting value z,…
math.DS2005★ 19 cited
On Newton's Method for Entire Functions
Johannes Rueckert, Dierk Schleicher
The Newton map N_f of an entire function f turns the roots of f into attracting fixed points. Let U be the immediate attracting basin for such a fixed point of N_f. We study the be…