DLMF:18.9.E10 (Q5606)

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DLMF:18.9.E10
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    ( 1 - x 2 ) U n ( x ) = - 1 2 ( T n + 2 ( x ) - T n ( x ) ) . 1 superscript 𝑥 2 Chebyshev-polynomial-second-kind-U 𝑛 𝑥 1 2 Chebyshev-polynomial-first-kind-T 𝑛 2 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle(1-x^{2})U_{n}\left(x\right)=-\tfrac{1}{2}\left(T_% {n+2}\left(x\right)-T_{n}\left(x\right)\right).}}
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