Gold 68

Stieltjes–Wigert polynomials

Gold ID

68

Link

https://sigir21.wmflabs.org/wiki/Stieltjes–Wigert_polynomials#math.120.0

Formula

$w(x)=\frac{k}{\sqrt{\pi }}{x}^{-1/2}\exp (-k^2{\log }^{}x)$

TeX Source

w(x) = \frac{k}{\sqrt{\pi}} x^{-1/2} \exp(-k^2\log^2 x)

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

w(x) = \frac{k}{\sqrt{\cpi}} x^{-1/2} \exp(- k^2 \log^2 x)

Expected (Gold Entry)

w(x) = \frac{k}{\sqrt{\cpi}} x^{-1/2} \exp(- k^2 \log^2 x)

Mathematica

Translation

w[x] == Divide[k,Sqrt[Pi]]*(x)^(- 1/2)* Exp[- (k)^(2)* (Log[x])^(2)]

Expected (Gold Entry)

w[x_] := Divide[k,Sqrt[Pi]]*(x)^(- 1/2)* Exp[- (k)^(2)* (Log[x])^(2)]

Maple

Translation

w(x) = (k)/(sqrt(Pi))*(x)^(- 1/2)* exp(- (k)^(2)* (log(x))^(2))

Expected (Gold Entry)

w := (x) -> (k)/(sqrt(Pi))*(x)^(- 1/2)* exp(- (k)^(2)* (log(x))^(2))