Question

Proving that : $ \frac{W(x)}{xe^x}=\sum\limits_{n=0}^{\infty} \frac{(-1)^n}{n!}T(n)x^n $

score 145 · Answer 1 · 2019-03-31 11:45:10

145

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Proving that : $ \frac{W(x)}{xe^x}=\sum\limits_{n=0}^{\infty} \frac{(-1)^n}{n!}T(n)x^n $

Published on 31 Mar 2019 - 11:45

score 384 · Answer 2 · 2019-03-31 14:36:38

384

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Proving that $\int x^{x^{x^{.^{.......}}}} dx= \sum_{n=1}^{\infty}\frac {(-n)^{n-1}}{n!} \Gamma(n, -\ln x)$ [Proof Verification]

Published on 31 Mar 2019 - 14:36

score 77 · Answer 3 · 2019-04-02 14:37:47

77

Views

Approach to an Integral involving the Lambert function

Published on 02 Apr 2019 - 14:37

score 28 · Answer 4 · 2019-04-02 19:12:06

28

Views

Simulating the Lambert W Distribution...

Published on 02 Apr 2019 - 19:12

score 66 · Answer 5 · 2026-03-14 18:33:49

66

Views

Lambert involution

Published on 14 Mar 2026 - 18:33

score 171 · Answer 6 · 2019-04-03 14:48:56

171

Views

Solution to $e^{-\frac{x^2}{2}}\frac{1}{x} = y$ with Lambert W function

Published on 03 Apr 2019 - 14:48

score 786 · Answer 7 · 2019-04-03 22:40:26

786

Views

Integral of $ \int x^{n-1}W(x)dx $

Published on 03 Apr 2019 - 22:40

score 223 · Answer 8 · 2019-04-04 19:39:20

223

Views

Bounds on the Lamber W-function around $x \approx -(1/e)$.

Published on 04 Apr 2019 - 19:39

score 6.7k · Answer 9 · 2019-04-28 13:23:39

6.7k

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Number of solutions of $e^x=x^3$

Published on 28 Apr 2019 - 13:23

score 50 · Answer 10 · 2026-02-23 04:46:32

50

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Implicit equation $\ln(\frac{x}{y})-y=1$ to rectangular equation not in terms of $W(x)$

Published on 23 Feb 2026 - 4:46

score 205 · Answer 11 · 2019-05-04 16:55:30

205

Views

A family of polynomials for the Taylor expansion of the Lambert-w function

Published on 04 May 2019 - 16:55

score 41 · Answer 12 · 2019-05-20 10:27:43

41

Views

How to show that the following equality is true with the help of lambert W function?

Published on 20 May 2019 - 10:27

score 315 · Answer 13 · 2019-05-20 14:18:58

315

Views

Parametric representation of the real branches $\operatorname{W_{0}},\operatorname{W_{-1}}$ of the Lambert W function

Published on 20 May 2019 - 14:18

score 45 · Answer 14 · 2019-05-24 09:39:10

45

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Solve $W_0(x)^2 - W_{-1}(x)^2 = c$ for $x<0$ with sufficiently large $c>0$

Published on 24 May 2019 - 9:39

score 89 · Answer 15 · 2019-06-18 23:02:21

89

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How to solve for third solution with Lambert W function.

Published on 18 Jun 2019 - 23:02

List Question

Proving that : $ \frac{W(x)}{xe^x}=\sum\limits_{n=0}^{\infty} \frac{(-1)^n}{n!}T(n)x^n $

Proving that $\int x^{x^{x^{.^{.......}}}} dx= \sum_{n=1}^{\infty}\frac {(-n)^{n-1}}{n!} \Gamma(n, -\ln x)$ [Proof Verification]

Approach to an Integral involving the Lambert function

Simulating the Lambert W Distribution...

Lambert involution

Solution to $e^{-\frac{x^2}{2}}\frac{1}{x} = y$ with Lambert W function

Integral of $ \int x^{n-1}W(x)dx $

Bounds on the Lamber W-function around $x \approx -(1/e)$.

Number of solutions of $e^x=x^3$

Implicit equation $\ln(\frac{x}{y})-y=1$ to rectangular equation not in terms of $W(x)$

A family of polynomials for the Taylor expansion of the Lambert-w function

How to show that the following equality is true with the help of lambert W function?

Parametric representation of the real branches $\operatorname{W_{0}},\operatorname{W_{-1}}$ of the Lambert W function

Solve $W_0(x)^2 - W_{-1}(x)^2 = c$ for $x<0$ with sufficiently large $c>0$

How to solve for third solution with Lambert W function.

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