DLMF:28.31.E21 (Q8545)

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DLMF:28.31.E21
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    Statements

    Defining formula
    ∫ 0 2 ⁢ π ℎ𝑐 p m 1 ⁢ ( x , ξ ) ⁢ ℎ𝑐 p m 2 ⁢ ( x , ξ ) ⁢ d x = ∫ 0 2 ⁢ π ℎ𝑠 p m 1 ⁢ ( x , ξ ) ⁢ ℎ𝑠 p m 2 ⁢ ( x , ξ ) ⁢ d x = 0 . superscript subscript 0 2 𝜋 superscript subscript ℎ𝑐 𝑝 subscript 𝑚 1 𝑥 𝜉 superscript subscript ℎ𝑐 𝑝 subscript 𝑚 2 𝑥 𝜉 𝑥 superscript subscript 0 2 𝜋 superscript subscript ℎ𝑠 𝑝 subscript 𝑚 1 𝑥 𝜉 superscript subscript ℎ𝑠 𝑝 subscript 𝑚 2 𝑥 𝜉 𝑥 0 {\displaystyle{\displaystyle\int_{0}^{2\pi}\mathit{hc}_{p}^{m_{1}}(x,\xi)% \mathit{hc}_{p}^{m_{2}}(x,\xi)\mathrm{d}x=\int_{0}^{2\pi}\mathit{hs}_{p}^{m_{1% }}(x,\xi)\mathit{hs}_{p}^{m_{2}}(x,\xi)\mathrm{d}x=0.}}
    0 references
    DLMF id
    DLMF:28.31.E21
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1jdec
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