Gold 54

Struve function

Gold ID: 54
Link: https://sigir21.wmflabs.org/wiki/Struve_function#math.105.18
Formula: $\mathbf {H} _{\alpha }(z)={\frac {z^{\alpha +1}}{2^{\alpha }{\sqrt {\pi }}\Gamma \left(\alpha +{\tfrac {3}{2}}\right)}}{}_{1}F_{2}\left(1,{\tfrac {3}{2}},\alpha +{\tfrac {3}{2}},-{\tfrac {z^{2}}{4}}\right)$
TeX Source: \mathbf{H}_{\alpha}(z) = \frac{z^{\alpha+1}}{2^{\alpha}\sqrt{\pi} \Gamma \left (\alpha+\tfrac{3}{2} \right )} {}_1F_2 \left (1,\tfrac{3}{2}, \alpha+\tfrac{3}{2},-\tfrac{z^2}{4} \right )

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations

Translation: \StruveH{\alpha}@{z} = \frac{z^{\alpha+1}}{2^{\alpha} \sqrt{\cpi} \EulerGamma@{\alpha + \tfrac{3}{2}}}{}_1 F_2(1 , \tfrac{3}{2} , \alpha + \tfrac{3}{2} , - \tfrac{z^2}{4})
Expected (Gold Entry): \StruveH{\alpha}@{z} = \frac{z^{\alpha+1}}{2^{\alpha} \sqrt{\cpi} \EulerGamma@{\alpha + \tfrac{3}{2}}} \genhyperF{1}{2}@{1}{\tfrac{3}{2}, \alpha + \tfrac{3}{2}}{- \tfrac{z^2}{4}}

Translation: StruveH[\[Alpha], z] == Divide[(z)^(\[Alpha]+ 1),(2)^\[Alpha]*Sqrt[Pi]*Gamma[\[Alpha]+Divide[3,2]]]Subscript[, 1]*Subscript[F, 2][1 ,Divide[3,2], \[Alpha]+Divide[3,2], -Divide[(z)^(2),4]]
Expected (Gold Entry): StruveH[\[Alpha], z] == Divide[(z)^(\[Alpha]+ 1),(2)^\[Alpha]*Sqrt[Pi]*Gamma[\[Alpha]+Divide[3,2]]]*HypergeometricPFQ[{1}, {Divide[3,2], \[Alpha]+Divide[3,2]}, -Divide[(z)^(2),4]]

Translation: StruveH(alpha, z) = ((z)^(alpha + 1))/((2)^(alpha)*sqrt(Pi)*GAMMA(alpha +(3)/(2)))[1]*F[2](1 ,(3)/(2), alpha +(3)/(2), -((z)^(2))/(4))
Expected (Gold Entry): StruveH(alpha, z) = ((z)^(alpha + 1))/((2)^(alpha)*sqrt(Pi)*GAMMA(alpha +(3)/(2)))*hypergeom([1], [(3)/(2), alpha +(3)/(2)], -((z)^(2))/(4))