DLMF:15.4.E8 (Q4992)

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DLMF:15.4.E8
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    F ( a , 1 2 + a ; 1 2 ; - tan 2 z ) = ( cos z ) 2 a cos ( 2 a z ) . Gauss-hypergeometric-F 𝑎 1 2 𝑎 1 2 2 𝑧 superscript 𝑧 2 𝑎 2 𝑎 𝑧 {\displaystyle{\displaystyle F\left(a,\tfrac{1}{2}+a;\tfrac{1}{2};-{\tan^{2}}z% \right)=(\cos z)^{2a}\cos\left(2az\right).}}
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