Computing Abel function at a given center

[bo198214]

Yes that is really interesting. However I dont know whether you will come to necessary precision to compare whether a shift before (smaller than the next fixed point) will even yield the same natural Abel function as shift after taking the natural Abel function. I have not even a conjecture about it, but would be really delighted if they yield the same result.

However for a shift greater than the next fixed point I would be quite sure that shift before and shift after give different results.

Edit: The last statement is nearly nonsense, because if the next fixed point is a singularity we can not shift beyond it afterwards.