DLMF:15.4.E10 (Q4994)

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DLMF:15.4.E10
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    test
    F ⁡ ( a , 1 2 + a ; 3 2 ; - tan 2 ⁡ z ) = ( cos ⁡ z ) 2 ⁢ a ⁢ sin ⁡ ( ( 1 - 2 ⁢ a ) ⁢ z ) ( 1 - 2 ⁢ a ) ⁢ sin ⁡ z . Gauss-hypergeometric-F 𝑎 1 2 𝑎 3 2 2 𝑧 superscript 𝑧 2 𝑎 1 2 𝑎 𝑧 1 2 𝑎 𝑧 {\displaystyle{\displaystyle F\left(a,\tfrac{1}{2}+a;\tfrac{3}{2};-{\tan^{2}}z% \right)=(\cos z)^{2a}\frac{\sin\left((1-2a)z\right)}{(1-2a)\sin z}.}}
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    DLMF id
    DLMF:15.4.E10
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