DLMF:2.6.E30 (Q856)

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DLMF:2.6.E30
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    Statements

    Defining formula
    R n ⁢ ( z ) = ( - 1 ) n z n ⁢ ∫ 0 ∞ τ n ⁢ f n ⁢ ( τ ) τ + z ⁢ d τ . subscript 𝑅 𝑛 𝑧 superscript 1 𝑛 superscript 𝑧 𝑛 superscript subscript 0 superscript 𝜏 𝑛 subscript 𝑓 𝑛 𝜏 𝜏 𝑧 𝜏 {\displaystyle{\displaystyle R_{n}(z)=\frac{(-1)^{n}}{z^{n}}\int_{0}^{\infty}% \frac{\tau^{n}f_{n}(\tau)}{\tau+z}\mathrm{d}\tau.}}
    0 references
    DLMF id
    DLMF:2.6.E30
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aldec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aldec
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    Q11027
    Defining formula
    R n ⁢ ( z ) subscript 𝑅 𝑛 𝑧 {\displaystyle{\displaystyle R_{n}(z)}}
    xml-id
    C2.S6.XMD12.m1bdec
    0 references
    Q11021
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C2.S6.XMD4.m1hdec
    0 references
    Q11022
    Defining formula
    f n , n ⁢ ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}
    xml-id
    C2.S6.XMD7.m1fdec
    0 references
     
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