Wishlist

Hmmm, seems like my wish list could get out of control. Would these items roughly match what you had in mind?

Fixed points

• Parabolic, Hyperbolic
• Attracting, Repelling
• Complex fixed point
• Behavior at infinity

Superfunction

• Regular Superfunction
• upper/lower superfunction
• sexp
• Regular iteration
• Abel function
• Slog

Convergence of Newton's method, interpolating polynomials
Kneser Riemann mapping, singularities
Leau-Fatou-flower
Half iterate convergence, special case for sexp(z)-1, eta=exp(1/e)
Theta(z), implementation of Kneser algorithm, eta
Base change, Jay's and Sheldon's base change sexp, Nowhere analytic, Tommy's 2sinh iteration
intuitive iteration
Cauchy Method (Dimitrii Kouznetsov)