DLMF:18.18.E30 (Q5820)

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DLMF:18.18.E30
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    test
    ∑ ℓ = 0 n ℓ + 2 ⁢ λ 2 ⁢ λ ⁢ C ℓ ( λ ) ⁡ ( x ) ⁢ x n - ℓ = C n ( λ + 1 ) ⁡ ( x ) . superscript subscript ℓ 0 𝑛 ℓ 2 𝜆 2 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 ℓ 𝑥 superscript 𝑥 𝑛 ℓ ultraspherical-Gegenbauer-polynomial 𝜆 1 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}\frac{\ell+2\lambda}{2\lambda}C^{% (\lambda)}_{\ell}\left(x\right)x^{n-\ell}=C^{(\lambda+1)}_{n}\left(x\right).}}
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    DLMF id
    DLMF:18.18.E30
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