Gold 22

Airy function

Gold ID: 22
Link: https://sigir21.wmflabs.org/wiki/Airy_function#math.72.15
Formula: ${Bi}^{'} (z) \sim \frac{z^{\frac{1}{4}} e^{\frac{2}{3} z^{\frac{3}{2}}}}{\sqrt{π}} [\sum_{n = 0}^{\infty} \frac{1 + 6 n}{1 - 6 n} \frac{Γ (n + \frac{5}{6}) Γ (n + \frac{1}{6}) {(\frac{3}{4})}^{n}}{2 π n! z^{3 n / 2}}]$
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}}}]