Exercises in Iterational Asymptotics IV
By: Steven Finch
Potential Business Impact:
Finds new math rules for special functions.
Abel's functional equation for $2^{x/2}$ and half-iterates of $\lambda x (1-x)$ & $\sqrt{1+x}$ are featured in this collection of exercises ($0 < \lambda \neq 1 < 2$).
Similar Papers
Analytical and Numerical Approaches for Finding Functional Iterates and Roots
Numerical Analysis
Finds "half" of a math function's repeated action.
Compositional Square Roots of $\exp(x)$ and $1+x^2$
General Mathematics
Makes math problems with repeating steps easier.
Half-Iterates and Delta Conjectures
Number Theory
Finds hidden math answers faster and more accurately.