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15
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Can one find a closed form solution to $\ln x=\frac{1}{x}$,

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#closed-form #lambert-w
212
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The general solution of $x^a = a^x$ for real $a >0$

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#exponential-function #roots #lambert-w
246
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Is the Lambert W function multivalued everywhere?

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#complex-analysis #special-functions #lambert-w
365
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New Elementary Function?

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#functions #soft-question #education #lambert-w
121
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Solve for x, $2=e^{3x}-x$?

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#lambert-w
189
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Sequence related to solutions of the equation $x^x=c$

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#sequences-and-series #limits #lambert-w
1k
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Infinite tetration of $z$ where $z=i^i$

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#complex-numbers #exponentiation #pi #lambert-w #tetration
556
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Any way we can evaluate the infinite power tower where it diverges?

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#lambert-w #power-towers
3.7k
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Solving an exponential equation with x as a base and an exponent

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#logarithms #lambert-w
549
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How to solve $\ln(y)=\ln(x)e^{\ln(x+1)} $ for x?

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#logarithms #exponential-function #lambert-w
391
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A strange identity related to the imaginary part of the Lambert-W function

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#complex-analysis #asymptotics #lambert-w
846
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Convergence or divergence of infinite power towers of complex numbers $z^{z^{z^{z{...}}}}$

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#sequences-and-series #complex-analysis #complex-numbers #tetration #lambert-w
1.2k
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Proving that if $|W(-\ln z)| < 1$ then $z^{z^{z^{z^...}}}$ is convergent

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#sequences-and-series #complex-analysis #complex-numbers #lambert-w #tetration
1.4k
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Has $e^x = ax^2$ a general solution for all $x$?

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#exponential-function #lambert-w
68
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How to find solution for this equation

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#algebra-precalculus #lambert-w

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