DLMF:2.6.E1 (Q826)

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DLMF:2.6.E1
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    Statements

    Defining formula
    S ⁢ ( x ) = ∫ 0 ∞ 1 ( 1 + t ) 1 / 3 ⁢ ( x + t ) ⁢ d t , 𝑆 𝑥 superscript subscript 0 1 superscript 1 𝑡 1 3 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle S(x)=\int_{0}^{\infty}\frac{1}{(1+t)^{1/3}(x+t)}% \mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.6.E1
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q11018
    Defining formula
    S ⁢ ( x ) 𝑆 𝑥 {\displaystyle{\displaystyle S(x)}}
    xml-id
    C2.S6.XMD1.m1dec
    0 references
     
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