Gold 32

Associated Legendre polynomials

Gold ID

32

Link

https://sigir21.wmflabs.org/wiki/Associated_Legendre_polynomials#math.82.8

Formula

$c_{lm}=(-1{)}^m\frac{(\ell -m)!}{(\ell +m)!}$

TeX Source

c_{lm} = (-1)^m \frac{(\ell-m)!}{(\ell+m)!}

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Semantic LaTeX

Translation

c_{lm} = (-1)^m \frac{(\ell-m)!}{(\ell+m)!}

Expected (Gold Entry)

c_{lm} = (-1)^m \frac{(\ell-m)!}{(\ell+m)!}

Mathematica

Translation

Subscript[c, l, m] == (- 1)^(m)*Divide[(\[ScriptL]- m)!,(\[ScriptL]+ m)!]

Expected (Gold Entry)

Subscript[c, l, m] == (- 1)^(m)*Divide[(\[ScriptL]- m)!,(\[ScriptL]+ m)!]

Maple

Translation

c[l, m] = (- 1)^(m)*(factorial(ell - m))/(factorial(ell + m))

Expected (Gold Entry)

c[l, m] = (- 1)^(m)*(factorial(ell - m))/(factorial(ell + m))