HP Prime crashes in Function and Graph 3D App.

[Albert Chan]

(11-18-2020 02:54 PM)lyuka Wrote:  However, in some convergence tests, the radius of convergence never fell below 1,
and sometimes stayed well above 9 for some very large complex inputs.

For small x, W e^W ≈ W = x
For large x, W e^W ≈ e^W = x ⇒ W(x) ≈ log(x)

Even with |x| = 10^1000, |W| ≈ 2300, not a huge number.
-> W radius of convergence will fall below 1.

Quote:And it happened, but unfortunately I lost the value of that special case.

You might mistakenly using the same test for e^W
For e^W, we need to convert back to radius of convergence of W, not e^W

//eW : exponential of Lambert W0 function

> r := abs(y/p);
> IF r < 1 THEN r := 1/r; END; // e^(W correction radius)
> UNTIL y == p OR (q < e and q <= r); // convergence check