DLMF:18.14.E20 (Q5685)

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DLMF:18.14.E20
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    Statements

    test
    | P n ( α , β ) ⁡ ( x n , n - m ) P n ( α , β ) ⁡ ( 1 ) | > | P n + 1 ( α , β ) ⁡ ( x n + 1 , n - m + 1 ) P n + 1 ( α , β ) ⁡ ( 1 ) | , Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 𝑚 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 subscript 𝑥 𝑛 1 𝑛 𝑚 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 1 {\displaystyle{\displaystyle\left|\frac{P^{(\alpha,\beta)}_{n}\left(x_{n,n-m}% \right)}{P^{(\alpha,\beta)}_{n}\left(1\right)}\right|>\left|\frac{P^{(\alpha,% \beta)}_{n+1}\left(x_{n+1,n-m+1}\right)}{P^{(\alpha,\beta)}_{n+1}\left(1\right% )}\right|,}}
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    DLMF id
    DLMF:18.14.E20
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    constraint
    m = 1 , 2 , … , n 𝑚 1 2 … 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,n}}
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