Question

Prove that $\Gamma(\operatorname{W}(x))$ is convex $\forall x>0$

score 149 · Answer 1 · 2026-03-25 14:25:51

149

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Prove that $\Gamma(\operatorname{W}(x))$ is convex $\forall x>0$

Published on 25 Mar 2026 - 14:25

score 403 · Answer 2 · 2016-07-14 14:06:42

403

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Real values of a function involving the Lambert $W(x)$ function

Published on 14 Jul 2016 - 14:06

score 46 · Answer 3 · 2016-07-23 02:40:15

Is it possible to solve for $x$ using the lambert W function in the expression ${\ln\left(x\right)}=(t-x)^2$?

score 191 · Answer 4 · 2016-07-24 18:14:13

191

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Is this metric space normable?

Published on 24 Jul 2016 - 18:14

score 761 · Answer 5 · 2016-08-10 19:54:03

761

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Solutions to $x \exp(x) = a x + b$

Published on 10 Aug 2016 - 19:54

score 82 · Answer 6 · 2016-08-16 16:01:21

82

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Where is my mistake in this application of the residue theorem?

Published on 16 Aug 2016 - 16:01

score 388 · Answer 7 · 2026-03-25 21:01:38

388

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Prove if $t = W(-\log z)$, $|t| = 1$, and $t^n \ne 1$ than $z^{z^{z^{...}}}$ does not converge

Published on 25 Mar 2026 - 21:01

score 174 · Answer 8 · 2016-08-25 22:03:56

174

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Solving equation of the form $(x+y)\ln(x+y) = (x+z)\ln(x+z)$ for $x$

Published on 25 Aug 2016 - 22:03

score 209 · Answer 9 · 2016-08-31 16:15:22

209

Views

Solve analytically an equation with Lambert function

Published on 31 Aug 2016 - 16:15

score 74 · Answer 10 · 2016-09-06 11:10:34

74

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Inverse of function $y(x)=\frac1b(\ln(x+1)-x)$

Published on 06 Sep 2016 - 11:10

score 1.2k · Answer 11 · 2016-09-22 19:40:18

1.2k

Views

Solving $x^{x^x}=c$ with Lambert's W function

Published on 22 Sep 2016 - 19:40

score 336 · Answer 12 · 2016-09-27 11:17:31

336

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Are those two numbers transcendental?

Published on 27 Sep 2016 - 11:17

score 272 · Answer 13 · 2016-10-03 21:52:26

272

Views

Rate of convergence for Newton's method for the Approximation of the Lambert W function

Published on 03 Oct 2016 - 21:52

score 44 · Answer 14 · 2016-10-04 20:39:08

44

Views

When do these common solutions involving the Lambert W function come out as integers, rational numbers, or algebraic numbers?

Published on 04 Oct 2016 - 20:39

score 1k · Answer 15 · 2016-10-05 18:46:33

1k

Views

Averaging Newton's Method and Halley's Method

Published on 05 Oct 2016 - 18:46

List Question

Prove that $\Gamma(\operatorname{W}(x))$ is convex $\forall x>0$

Real values of a function involving the Lambert $W(x)$ function

Is it possible to solve for $x$ using the lambert W function in the expression ${\ln\left(x\right)}=(t-x)^2$?

Is this metric space normable?

Solutions to $x \exp(x) = a x + b$

Where is my mistake in this application of the residue theorem?

Prove if $t = W(-\log z)$, $|t| = 1$, and $t^n \ne 1$ than $z^{z^{z^{...}}}$ does not converge

Solving equation of the form $(x+y)\ln(x+y) = (x+z)\ln(x+z)$ for $x$

Solve analytically an equation with Lambert function

Inverse of function $y(x)=\frac1b(\ln(x+1)-x)$

Solving $x^{x^x}=c$ with Lambert's W function

Are those two numbers transcendental?

Rate of convergence for Newton's method for the Approximation of the Lambert W function

When do these common solutions involving the Lambert W function come out as integers, rational numbers, or algebraic numbers?

Averaging Newton's Method and Halley's Method

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