DLMF:12.14.E1 (Q4236)

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DLMF:12.14.E1
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    Statements

    test
    W ⁡ ( a , 0 ) = 2 - 3 4 ⁢ | Γ ⁡ ( 1 4 + 1 2 ⁢ i ⁢ a ) Γ ⁡ ( 3 4 + 1 2 ⁢ i ⁢ a ) | 1 2 , parabolic-W 𝑎 0 superscript 2 3 4 superscript Euler-Gamma 1 4 1 2 𝑖 𝑎 Euler-Gamma 3 4 1 2 𝑖 𝑎 1 2 {\displaystyle{\displaystyle W\left(a,0\right)=2^{-\frac{3}{4}}\left|\frac{% \Gamma\left(\tfrac{1}{4}+\tfrac{1}{2}ia\right)}{\Gamma\left(\tfrac{3}{4}+% \tfrac{1}{2}ia\right)}\right|^{\frac{1}{2}},}}
    0 references
    DLMF id
    DLMF:12.14.E1
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q11543
    test
    W ⁡ ( a , x ) parabolic-W 𝑎 𝑥 {\displaystyle{\displaystyle W\left(\NVar{a},\NVar{x}\right)}}
    xml-id
    C12.S14.SS1.p1.m1adec
    0 references
    Q11516
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1dec
    0 references
     
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