DLMF:18.18.E36 (Q5826)

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DLMF:18.18.E36
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    = 0 n P ( x ) P n - ( x ) = U n ( x ) . superscript subscript 0 𝑛 Legendre-spherical-polynomial 𝑥 Legendre-spherical-polynomial 𝑛 𝑥 Chebyshev-polynomial-second-kind-U 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}P_{\ell}\left(x\right)P_{n-\ell}% \left(x\right)=U_{n}\left(x\right).}}
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