DLMF:15.4.E3 (Q4986)

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DLMF:15.4.E3
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    F ⁡ ( 1 2 , 1 ; 3 2 ; - z 2 ) = z - 1 ⁢ arctan ⁡ z , Gauss-hypergeometric-F 1 2 1 3 2 superscript 𝑧 2 superscript 𝑧 1 𝑧 {\displaystyle{\displaystyle F\left(\tfrac{1}{2},1;\tfrac{3}{2};-z^{2}\right)=% z^{-1}\operatorname{arctan}z,}}
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    DLMF:15.4.E3
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