DLMF:15.4.E7 (Q4991)

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DLMF:15.4.E7
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    F ( a , 1 2 + a ; 1 2 ; z 2 ) = 1 2 ( ( 1 + z ) - 2 a + ( 1 - z ) - 2 a ) , Gauss-hypergeometric-F 𝑎 1 2 𝑎 1 2 superscript 𝑧 2 1 2 superscript 1 𝑧 2 𝑎 superscript 1 𝑧 2 𝑎 {\displaystyle{\displaystyle F\left(a,\tfrac{1}{2}+a;\tfrac{1}{2};z^{2}\right)% =\tfrac{1}{2}\left((1+z)^{-2a}+(1-z)^{-2a}\right),}}
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