DLMF:18.9.E5 (Q5601)

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DLMF:18.9.E5
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    test
    ( 2 ⁢ n + α + β + 1 ) ⁢ P n ( α , β ) ⁡ ( x ) = ( n + α + β + 1 ) ⁢ P n ( α , β + 1 ) ⁡ ( x ) + ( n + α ) ⁢ P n - 1 ( α , β + 1 ) ⁡ ( x ) , 2 𝑛 𝛼 𝛽 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 𝑛 𝛼 𝛽 1 Jacobi-polynomial-P 𝛼 𝛽 1 𝑛 𝑥 𝑛 𝛼 Jacobi-polynomial-P 𝛼 𝛽 1 𝑛 1 𝑥 {\displaystyle{\displaystyle(2n+\alpha+\beta+1)P^{(\alpha,\beta)}_{n}\left(x% \right)=(n+\alpha+\beta+1)P^{(\alpha,\beta+1)}_{n}\left(x\right)+(n+\alpha)P^{% (\alpha,\beta+1)}_{n-1}\left(x\right),}}
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    DLMF id
    DLMF:18.9.E5
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