DLMF:3.11.E10 (Q1451)

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DLMF:3.11.E10
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    Statements

    test
    c n = 2 π ⁢ ∫ 0 π f ⁢ ( cos ⁡ θ ) ⁢ cos ⁡ ( n ⁢ θ ) ⁢ d θ , subscript 𝑐 𝑛 2 superscript subscript 0 𝑓 𝜃 𝑛 𝜃 𝜃 {\displaystyle{\displaystyle c_{n}=\frac{2}{\pi}\int_{0}^{\pi}f(\cos\theta)% \cos\left(n\theta\right)\mathrm{d}\theta,}}
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    DLMF id
    DLMF:3.11.E10
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    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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