DLMF:18.9.E19 (Q5615)

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DLMF:18.9.E19
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    d d x ⁡ C n ( λ ) ⁡ ( x ) = 2 ⁢ λ ⁢ C n - 1 ( λ + 1 ) ⁡ ( x ) , derivative 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 2 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 1 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}C^{(\lambda)}_{n}% \left(x\right)=2\lambda C^{(\lambda+1)}_{n-1}\left(x\right),}}
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    DLMF:18.9.E19
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