tetration from alternative fixed point

[bo198214]

But not the path to the secondary fixed point. For example, consider the path from real=ln(0.5), 0.5, and exp(0.5) to the secondary fixed point (via the i*3pi contour). These are the real values near the maximum of the i*3pi contour, (see graph in earlier post). Here is a graph of the first two.

*nods* This is what I mean that we dont have an initial "plain" region (and I guess regardless how we choose the first curve, the second will always overlap the first or itself). In the best case we have some initial manifold (self overlapping region). But thats in the moment out of my sight how to apply Kouznetsov's method to a manifold.

PS: Dont be shy to upload pictures to the forum. I consider it a long term archive (though a very unsorted yet), while I dont know how long referenced sites would live.