DLMF:5.4.E6 (Q2042)

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DLMF:5.4.E6
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    Statements

    Defining formula
    Γ ⁡ ( 1 2 ) = π 1 / 2 = 1.77245 38509 05516 02729 ⁢ … , Euler-Gamma 1 2 superscript 𝜋 1 2 1.77245 38509 05516 02729 … {\displaystyle{\displaystyle\Gamma\left(\tfrac{1}{2}\right)=\pi^{1/2}\\ =1.77245\;38509\;05516\;02729\;\dots,}}
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    DLMF id
    DLMF:5.4.E6
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aedec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
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