DLMF:15.4.E27 (Q5011)

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DLMF:15.4.E27
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    Defining formula
    F ⁡ ( 1 , a ; a + 1 ; - 1 ) = 1 2 ⁢ a ⁢ ( ψ ⁡ ( 1 2 ⁢ a + 1 2 ) - ψ ⁡ ( 1 2 ⁢ a ) ) . Gauss-hypergeometric-F 1 𝑎 𝑎 1 1 1 2 𝑎 digamma 1 2 𝑎 1 2 digamma 1 2 𝑎 {\displaystyle{\displaystyle F\left(1,a;a+1;-1\right)=\tfrac{1}{2}a\left(\psi% \left(\tfrac{1}{2}a+\tfrac{1}{2}\right)-\psi\left(\tfrac{1}{2}a\right)\right).}}
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    DLMF id
    DLMF:15.4.E27
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