DLMF:18.14.E18 (Q5683)

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DLMF:18.14.E18
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    | P n ( α , β ) ( x n , 0 ) | < | P n ( α , β ) ( x n , 1 ) | < < | P n ( α , β ) ( x n , n ) | , Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 0 Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 {\displaystyle{\displaystyle|P^{(\alpha,\beta)}_{n}\left(x_{n,0}\right)|<|P^{(% \alpha,\beta)}_{n}\left(x_{n,1}\right)|<\cdots<|P^{(\alpha,\beta)}_{n}\left(x_% {n,n}\right)|,}}
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    DLMF:18.14.E18
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    - 1 < β - 1 2 1 𝛽 1 2 {\displaystyle{\displaystyle-1<\beta\leq-\tfrac{1}{2}}}
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    P n ( α , β ) ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}
    C18.S3.T1.t1.r2.m2aedec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1odec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1qdec
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