DLMF:18.7.E13 (Q5581)

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DLMF:18.7.E13
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    test
    P 2 ⁢ n ( α , α ) ⁡ ( x ) P 2 ⁢ n ( α , α ) ⁡ ( 1 ) = P n ( α , - 1 2 ) ⁡ ( 2 ⁢ x 2 - 1 ) P n ( α , - 1 2 ) ⁡ ( 1 ) , Jacobi-polynomial-P 𝛼 𝛼 2 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛼 2 𝑛 1 Jacobi-polynomial-P 𝛼 1 2 𝑛 2 superscript 𝑥 2 1 Jacobi-polynomial-P 𝛼 1 2 𝑛 1 {\displaystyle{\displaystyle\frac{P^{(\alpha,\alpha)}_{2n}\left(x\right)}{P^{(% \alpha,\alpha)}_{2n}\left(1\right)}=\frac{P^{(\alpha,-\frac{1}{2})}_{n}\left(2% x^{2}-1\right)}{P^{(\alpha,-\frac{1}{2})}_{n}\left(1\right)},}}
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    DLMF id
    DLMF:18.7.E13
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