DLMF:28.31.E21 (Q8545)

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DLMF:28.31.E21
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    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.}}
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