DLMF:7.6.E1 (Q2360)

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DLMF:7.6.E1
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    Statements

    Defining formula
    erf ⁡ z = 2 π ⁢ ∑ n = 0 ∞ ( - 1 ) n ⁢ z 2 ⁢ n + 1 n ! ⁢ ( 2 ⁢ n + 1 ) , error-function 𝑧 2 𝜋 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 𝑧 2 𝑛 1 𝑛 2 𝑛 1 {\displaystyle{\displaystyle\operatorname{erf}z=\frac{2}{\sqrt{\pi}}\sum_{n=0}% ^{\infty}\frac{(-1)^{n}z^{2n+1}}{n!(2n+1)},}}
    0 references
    DLMF id
    DLMF:7.6.E1
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    error function
    Defining formula
    erf ⁡ z error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}
    xml-id
    C7.S2.E1.m2adec
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