DLMF:8.12.E3 (Q2597)

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DLMF:8.12.E3
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    Statements

    Defining formula
    P ⁡ ( a , z ) = 1 2 ⁢ erfc ⁡ ( - η ⁢ a / 2 ) - S ⁢ ( a , η ) , incomplete-gamma-P 𝑎 𝑧 1 2 complementary-error-function 𝜂 𝑎 2 𝑆 𝑎 𝜂 {\displaystyle{\displaystyle P\left(a,z\right)=\tfrac{1}{2}\operatorname{erfc}% \left(-\eta\sqrt{a/2}\right)-S(a,\eta),}}
    0 references
    DLMF id
    DLMF:8.12.E3
    0 references
    Symbols used
    complementary error function
    Defining formula
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2adec
    0 references
    Q11325
    Defining formula
    P ⁡ ( a , z ) incomplete-gamma-P 𝑎 𝑧 {\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E4.m1adec
    0 references
    Q11323
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1adec
    0 references
    Q11324
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1adec
    0 references
    Q11348
    Defining formula
    η ⁢ ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}}
    xml-id
    C8.S12.XMD1.m1bdec
    0 references
    Q11349
    Defining formula
    S ⁢ ( a , η ) 𝑆 𝑎 𝜂 {\displaystyle{\displaystyle S(a,\eta)}}
    xml-id
    C8.S12.XMD3.m1dec
    0 references
     
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