DLMF:18.18.E21 (Q5811)

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DLMF:18.18.E21
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    T m ( x ) T n ( x ) = 1 2 ( T m + n ( x ) + T m - n ( x ) ) . Chebyshev-polynomial-first-kind-T 𝑚 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 1 2 Chebyshev-polynomial-first-kind-T 𝑚 𝑛 𝑥 Chebyshev-polynomial-first-kind-T 𝑚 𝑛 𝑥 {\displaystyle{\displaystyle T_{m}\left(x\right)T_{n}\left(x\right)=\tfrac{1}{% 2}(T_{m+n}\left(x\right)+T_{m-n}\left(x\right)).}}
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