DLMF:18.14#Ex2 (Q5680)

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DLMF:18.14#Ex2
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    Statements

    Defining formula
    | P n ( α , β ) ⁡ ( x n , n ) | > | P n ( α , β ) ⁡ ( x n , n - 1 ) | > ⋯ > | P n ( α , β ) ⁡ ( x n , m + 1 ) | , Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 1 ⋯ Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑚 1 {\displaystyle{\displaystyle|P^{(\alpha,\beta)}_{n}\left(x_{n,n}\right)|>|P^{(% \alpha,\beta)}_{n}\left(x_{n,n-1}\right)|>\cdots>|P^{(\alpha,\beta)}_{n}\left(% x_{n,m+1}\right)|,}}
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    DLMF id
    DLMF:18.14#Ex2
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    constraint
    α > - 1 2 , β > - 1 2 . formulae-sequence 𝛼 1 2 𝛽 1 2 {\displaystyle{\displaystyle\alpha>-\tfrac{1}{2},\beta>-\tfrac{1}{2}.}}
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