DLMF:16.12.E1 (Q5246)

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DLMF:16.12.E1
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    F 1 0 ( - ; a ; z ) F 1 0 ( - ; b ; z ) = F 3 2 ( 1 2 ( a + b ) , 1 2 ( a + b - 1 ) a , b , a + b - 1 ; 4 z ) . Gauss-hypergeometric-pFq 0 1 𝑎 𝑧 Gauss-hypergeometric-pFq 0 1 𝑏 𝑧 Gauss-hypergeometric-pFq 2 3 1 2 𝑎 𝑏 1 2 𝑎 𝑏 1 𝑎 𝑏 𝑎 𝑏 1 4 𝑧 {\displaystyle{\displaystyle{{}_{0}F_{1}}\left(-;a;z\right){{}_{0}F_{1}}\left(% -;b;z\right)={{}_{2}F_{3}}\left({\frac{1}{2}(a+b),\frac{1}{2}(a+b-1)\atop a,b,% a+b-1};4z\right).}}
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    DLMF:16.12.E1
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