DLMF:18.18.E29 (Q5819)

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DLMF:18.18.E29
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    test
    ∑ ℓ = 0 n C ℓ ( λ ) ⁡ ( x ) ⁢ C n - ℓ ( μ ) ⁡ ( x ) = C n ( λ + μ ) ⁡ ( x ) . superscript subscript ℓ 0 𝑛 ultraspherical-Gegenbauer-polynomial 𝜆 ℓ 𝑥 ultraspherical-Gegenbauer-polynomial 𝜇 𝑛 ℓ 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 𝜇 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}C^{(\lambda)}_{\ell}\left(x\right% )C^{(\mu)}_{n-\ell}\left(x\right)=C^{(\lambda+\mu)}_{n}\left(x\right).}}
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    DLMF id
    DLMF:18.18.E29
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