DLMF:15.16.E1 (Q5178)

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DLMF:15.16.E1
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    test
    F ⁡ ( a , b c - 1 2 ; z ) ⁢ F ⁡ ( c - a , c - b c + 1 2 ; z ) = ∑ s = 0 ∞ ( c ) s ( c + 1 2 ) s ⁢ A s ⁢ z s , Gauss-hypergeometric-F 𝑎 𝑏 𝑐 1 2 𝑧 Gauss-hypergeometric-F 𝑐 𝑎 𝑐 𝑏 𝑐 1 2 𝑧 superscript subscript 𝑠 0 Pochhammer 𝑐 𝑠 Pochhammer 𝑐 1 2 𝑠 subscript 𝐴 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle F\left({a,b\atop c-\frac{1}{2}};z\right)F\left({c% -a,c-b\atop c+\frac{1}{2}};z\right)=\sum_{s=0}^{\infty}\frac{{\left(c\right)_{% s}}}{{\left(c+\frac{1}{2}\right)_{s}}}A_{s}z^{s},}}
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    DLMF id
    DLMF:15.16.E1
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