List questions from lambert-w

Published on 15 Jun 2017 - 14:19

328

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Solve $t\, e^t=t+2$ for $t>0$.

Published on 26 Mar 2026 - 14:28

1.2k

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Prove that $\int_0^\infty \frac{1+2\cos x+x\sin x}{1+2x\sin x +x^2}dx=\frac{\pi}{1+\Omega}$ where $\Omega e^\Omega=1$

Published on 21 Jun 2017 - 19:51

271

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Solving "ugly" equations

Published on 27 Jun 2017 - 3:38

466

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What is the Lambert's solution of $x = q+x^m$?

Published on 14 Jul 2017 - 16:53

405

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How to solve $xe^x+e^x= e^4$?

Published on 22 Jul 2017 - 14:52

220

Views

Smoothness of $\frac12[W_0(x)+W_{-1}(x)]$ for real $x<0$

Published on 26 Mar 2026 - 17:14

283

Views

Solve the equation using Lambert's W function

Published on 30 Aug 2017 - 12:00

333

Views

value of inverse function

Published on 06 Sep 2017 - 21:05

190

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Extracting solutions from the two-variable exponential equation $x^y=y^x$ using the Lambert W function

Published on 13 Sep 2017 - 19:03

462

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The Lambert-W function?

Published on 25 Sep 2017 - 1:22

104

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Solve: $-2^x-x/2=0$ analytically

Published on 24 Feb 2026 - 7:02

168

Views

Lambert function - Need help finding an analytical solution

Published on 27 Sep 2017 - 10:56

109

Views

solving exponential equation $e^{x/n}=x$

Published on 05 Oct 2017 - 23:03

117

Views

How to compute the upper (repelling) fixpoint for $b^x=x$ ($1<b<1.44$) - using the LambertW?

Published on 27 Mar 2026 - 4:38

List Question

Special functions and LambertW

Solve $t\, e^t=t+2$ for $t>0$.

Prove that $\int_0^\infty \frac{1+2\cos x+x\sin x}{1+2x\sin x +x^2}dx=\frac{\pi}{1+\Omega}$ where $\Omega e^\Omega=1$

Solving "ugly" equations

What is the Lambert's solution of $x = q+x^m$?

How to solve $xe^x+e^x= e^4$?

Smoothness of $\frac12[W_0(x)+W_{-1}(x)]$ for real $x<0$

Solve the equation using Lambert's W function

value of inverse function

Extracting solutions from the two-variable exponential equation $x^y=y^x$ using the Lambert W function

The Lambert-W function?

Solve: $-2^x-x/2=0$ analytically

Lambert function - Need help finding an analytical solution

solving exponential equation $e^{x/n}=x$

How to compute the upper (repelling) fixpoint for $b^x=x$ ($1<b<1.44$) - using the LambertW?

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