- Experiment. Math.
- Volume 12, Number 3 (2003), 375-384.
Computing the Pluricomplex Green Function with Two Poles
We look at numerical computations of the pluricomplex Green function g with two poles of equal weight for the bidisk. The results we obtain strongly suggest that Coman's conjecture holds in this setting, that is that g equals the Lempert function. We also prove this in a special case.
Furthermore, we show that Coman's conjecture fails in the case of two poles of different weight in the unit ball of $\C2$.
Experiment. Math., Volume 12, Number 3 (2003), 375-384.
First available in Project Euclid: 15 June 2004
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Wikström, Frank. Computing the Pluricomplex Green Function with Two Poles. Experiment. Math. 12 (2003), no. 3, 375--384. https://projecteuclid.org/euclid.em/1087329239