09/24/2021, 04:37 PM

Having a little tiny break from my tons of homework, I contemplated the very case,

(Conjugate to more general case )

Since has no zeros, f has no fixed points. But f is not that like the one already constructed: which has a well behaviored fixed point at -infinity.

My first attempt is to map the fixed point at to 0, using . however, F won't have a second derivative at z=0, so I got stuck.

How would someone construct the family of superfunctions of this f? This will be challenging. I'd like to invite everyone to discuss this.

(Conjugate to more general case )

Since has no zeros, f has no fixed points. But f is not that like the one already constructed: which has a well behaviored fixed point at -infinity.

My first attempt is to map the fixed point at to 0, using . however, F won't have a second derivative at z=0, so I got stuck.

How would someone construct the family of superfunctions of this f? This will be challenging. I'd like to invite everyone to discuss this.