Gold 22

Airy function

Gold ID: 22
Link: https://sigir21.wmflabs.org/wiki/Airy_function#math.72.15
Formula: $\operatorname {Bi} '(z)\sim {\frac {z^{\frac {1}{4}}e^{{\frac {2}{3}}z^{\frac {3}{2}}}}{{\sqrt {\pi }}\,}}\left[\sum _{n=0}^{\infty }{\frac {1+6n}{1-6n}}{\dfrac {\Gamma (n+{\frac {5}{6}})\Gamma (n+{\frac {1}{6}})\left({\frac {3}{4}}\right)^{n}}{2\pi n!z^{3n/2}}}\right]$
TeX Source: \operatorname{Bi}'(z)\sim \frac{z^{\frac{1}{4}}e^{\frac{2}{3}z^{\frac{3}{2}}}}{\sqrt\pi\,}\left[ \sum_{n=0}^{\infty}\frac{1+6n}{1-6n} \dfrac{ \Gamma(n+\frac{5}{6})\Gamma(n+\frac{1}{6})\left(\frac{3}{4}\right)^n}{2\pi n! z^{3n/2}} \right]

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
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Translation: \operatorname{Bi} '(z) \sim \frac{z^{\frac{1}{4}} \expe^{\frac{2}{3}z^{\frac{3}{2}}}}{\sqrt{\cpi}} [\sum_{n=0}^{\infty} \frac{1+6n}{1-6n} \dfrac{\Gamma(n + \frac{5}{6}) \Gamma(n + \frac{1}{6})(\frac{3}{4})^n{2 \cpi n! z^{3n/2}}}]
Expected (Gold Entry): \AiryBi'@{z} \sim \frac{z^{\frac{1}{4}} \expe^{\frac{2}{3}z^{\frac{3}{2}}}}{\sqrt{\cpi}} [\sum_{n=0}^{\infty} \frac{1+6n}{1-6n} \frac{\EulerGamma@{n + \frac{5}{6}} \EulerGamma@{n + \frac{1}{6}}(\frac{3}{4})^n{2 \cpi n! z^{3n/2}}}]