DLMF:10.23.E11 (Q3465)

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DLMF:10.23.E11
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    Statements

    test
    a k = 1 2 ⁢ π ⁢ i ⁢ ∫ | z | = c ′ f ⁢ ( t ) ⁢ O k ⁡ ( t ) ⁢ d t , subscript 𝑎 𝑘 1 2 𝜋 𝑖 subscript 𝑧 superscript 𝑐 ′ 𝑓 𝑡 Neumann-polynomial 𝑘 𝑡 𝑡 {\displaystyle{\displaystyle a_{k}=\frac{1}{2\pi i}\int_{|z|=c^{\prime}}f(t)O_% {k}\left(t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:10.23.E11
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    constraint
    0 < c ′ < c 0 superscript 𝑐 ′ 𝑐 {\displaystyle{\displaystyle 0<c^{\prime}<c}}
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    Symbols used
    Neumann’s polynomial
    test
    O n ⁡ ( x ) Neumann-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle O_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C10.S23.E12.m2adec
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    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
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