DLMF:12.2.E7 (Q4092)

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DLMF:12.2.E7
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    Statements

    Defining formula
    U ′ ⁡ ( a , 0 ) = - π 2 1 2 ⁢ a - 1 4 ⁢ Γ ⁡ ( 1 4 + 1 2 ⁢ a ) , diffop parabolic-U 1 𝑎 0 𝜋 superscript 2 1 2 𝑎 1 4 Euler-Gamma 1 4 1 2 𝑎 {\displaystyle{\displaystyle U'\left(a,0\right)=-\frac{\sqrt{\pi}}{2^{\frac{1}% {2}a-\frac{1}{4}}\Gamma\left(\frac{1}{4}+\frac{1}{2}a\right)},}}
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    DLMF id
    DLMF:12.2.E7
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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.m2aadec
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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.m2aadec
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