DLMF:15.4.E17 (Q5001)

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DLMF:15.4.E17
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    F ( a , 1 2 + a ; 1 + 2 a ; z ) = ( 1 2 + 1 2 1 - z ) - 2 a , Gauss-hypergeometric-F 𝑎 1 2 𝑎 1 2 𝑎 𝑧 superscript 1 2 1 2 1 𝑧 2 𝑎 {\displaystyle{\displaystyle F\left(a,\tfrac{1}{2}+a;1+2a;z\right)=\left(% \tfrac{1}{2}+\tfrac{1}{2}\sqrt{1-z}\right)^{-2a},}}
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