DLMF:18.9.E15 (Q5611)

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DLMF:18.9.E15
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    test
    d d x ⁡ P n ( α , β ) ⁡ ( x ) = 1 2 ⁢ ( n + α + β + 1 ) ⁢ P n - 1 ( α + 1 , β + 1 ) ⁡ ( x ) , derivative 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 1 2 𝑛 𝛼 𝛽 1 Jacobi-polynomial-P 𝛼 1 𝛽 1 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}P^{(\alpha,\beta)}_{% n}\left(x\right)=\tfrac{1}{2}(n+\alpha+\beta+1)P^{(\alpha+1,\beta+1)}_{n-1}% \left(x\right),}}
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    DLMF id
    DLMF:18.9.E15
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