Funny pictures of sexps

[jaydfox]

As I said, its not a shift of the Abel function but the result may be a different Abel function. I dont know about the mechanisms of its convergence. Proof of convergence of the intuitive method is anyway still open.

Actually, have you tried recentering the "new" Abel function after deriving it. A quick test at x=0.5 shows that it is probably the same function (hard to tell, I'm doing quick tests with 250x250 matrices, but it's accurate to 8-12 decimal places for the first 100 terms or so).

At any rate, even though it "might" not be the same function, I see no reason it wouldn't be, so I've been assuming it's the same. To assume it is different is to go back to the old argument about uniqueness: it would necessarily introduce a cyclic shift, which would produce spectacularly different results near the primary singularities, and I don't see why this would be at all likely.