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New posts in tetration
Operational details (Implementation) of Kneser's method of fractional iteration of function $\exp(x)$?
complex-analysis
riemann-surfaces
function-and-relation-composition
tetration
What is the maximum convergent $x$ in the power tower $x^{x^{x^{x\cdots}}}$?
convergence-divergence
tetration
power-towers
Explain $x^{x^{x^{{\cdots}}}} = \,\,3$
algebra-precalculus
limits
tetration
power-towers
What is $i$ exponentiated to itself $i$ times?
complex-numbers
tetration
Fixed Point of $x_{n+1}=i^{x_n}$ [duplicate]
complex-numbers
tetration
power-towers
How do you calculate $ 2^{2^{2^{2^{2}}}} $?
algebra-precalculus
arithmetic
tetration
Is the positive root of the equation $x^{x^x}=2$, $x=1.47668433...$ a transcendental number?
irrational-numbers
transcendental-numbers
tetration
transcendental-equations
transcendence-theory
Integral form(s) of a general tetration/power tower integral solution: $\sum\limits_{n=0}^\infty \frac{(pn+q)^{rn+s}Γ(An+B,Cn+D)}{Γ(an+b,cn+d)}$
integration
gamma-function
tetration
summation-method
power-towers
Area under $x^{-x}$ over its real domain. What is another non-integral form of $\int_{\Bbb R^+}x^{-x}dx$?
area
alternative-proof
constants
tetration
power-towers
Fractional Composite of Functions
function-and-relation-composition
tetration
Convergence properties of $z^{z^{z^{...}}}$ and is it "chaotic"
complex-numbers
irrational-numbers
chaos-theory
lambert-w
tetration
Do the last digits of exponential towers really converge to a fixed sequence?
number-theory
modular-arithmetic
tetration
power-towers
Infinite powering by $i$ [duplicate]
limits
complex-numbers
exponentiation
tetration
Why does ${x}^{x^{x^{x^{\,.^{\,.^{\,.}}}}}}$ bifurcate below $\sim0.065$?
limits
tetration
bifurcation
Seems that I just proved $2=4$.
fake-proofs
paradoxes
tetration
power-towers
What is this operator called?
elementary-number-theory
terminology
arithmetic
tetration
What is the derivative of ${}^xx$
derivatives
tetration
power-towers
Last few digits of $n^{n^{n^{\cdot^{\cdot^{\cdot^n}}}}}$
number-theory
elementary-number-theory
tetration
power-towers
Iterated exponent of $i$
complex-numbers
exponentiation
wolfram-alpha
tetration
How to calculate $f(x)$ in $f(f(x)) = e^x$?
power-series
functional-equations
tetration
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