Gold 45

Whittaker function

Gold ID

45

Link

https://sigir21.wmflabs.org/wiki/Whittaker_function#math.95.0

Formula

${\frac {d^{2}w}{dz^{2}}}+\left(-{\frac {1}{4}}+{\frac {\kappa }{z}}+{\frac {1/4-\mu ^{2}}{z^{2}}}\right)w=0$

TeX Source

\frac{d^2w}{dz^2}+\left(-\frac{1}{4}+\frac{\kappa}{z}+\frac{1/4-\mu^2}{z^2}\right)w=0

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

\deriv [2]{w}{z} +(- \frac{1}{4} + \frac{\kappa}{z} + \frac{1/4-\mu^2}{z^2}) w = 0

Expected (Gold Entry)

\deriv [2]{w}{z} +(- \frac{1}{4} + \frac{\kappa}{z} + \frac{1/4-\mu^2}{z^2}) w = 0

Mathematica

Translation

D[w, {z, 2}]+(-Divide[1,4]+Divide[\[Kappa],z]+Divide[1/4 - \[Mu]^(2),(z)^(2)])*w == 0

Expected (Gold Entry)

D[w, {z, 2}]+(-Divide[1,4]+Divide[\[Kappa],z]+Divide[1/4 - \[Mu]^(2),(z)^(2)])*w == 0

Maple

Translation

diff(w, [z$(2)])+(-(1)/(4)+(kappa)/(z)+(1/4 - (mu)^(2))/((z)^(2)))*w = 0

Expected (Gold Entry)

diff(w, [z$\$$(2)])+(-(1)/(4)+(kappa)/(z)+(1/4 - (mu)^(2))/((z)^(2)))*w = 0