DLMF:9.7.E3 (Q2810)

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DLMF:9.7.E3
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    Statements

    Defining formula
    χ ⁢ ( x ) ≡ π 1 / 2 ⁢ Γ ⁡ ( 1 2 ⁢ x + 1 ) / Γ ⁡ ( 1 2 ⁢ x + 1 2 ) . equal-by definition 𝜒 𝑥 1 2 Euler-Gamma 1 2 𝑥 1 Euler-Gamma 1 2 𝑥 1 2 {\displaystyle{\displaystyle\chi(x)\equiv{\pi^{\ifrac{1}{2}}}\Gamma\left(% \tfrac{1}{2}x+1\right)/\Gamma\left(\tfrac{1}{2}x+\tfrac{1}{2}\right).}}
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    DLMF id
    DLMF:9.7.E3
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