DLMF:28.31.E12 (Q8529)

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DLMF:28.31.E12
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    Defining formula
    1 π ⁢ ∫ 0 2 ⁢ π ( C p m ⁢ ( x , ξ ) ) 2 ⁢ d x = 1 π ⁢ ∫ 0 2 ⁢ π ( S p m ⁢ ( x , ξ ) ) 2 ⁢ d x = 1 , 1 𝜋 superscript subscript 0 2 𝜋 superscript superscript subscript 𝐶 𝑝 𝑚 𝑥 𝜉 2 𝑥 1 𝜋 superscript subscript 0 2 𝜋 superscript superscript subscript 𝑆 𝑝 𝑚 𝑥 𝜉 2 𝑥 1 {\displaystyle{\displaystyle\dfrac{1}{\pi}\int_{0}^{2\pi}\left(C_{p}^{m}(x,\xi% )\right)^{2}\mathrm{d}x=\dfrac{1}{\pi}\int_{0}^{2\pi}\left(S_{p}^{m}(x,\xi)% \right)^{2}\mathrm{d}x=1,}}
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    DLMF id
    DLMF:28.31.E12
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