DLMF:18.14.E19 (Q5684)

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DLMF:18.14.E19
No description defined

    Statements

    Defining formula
    | 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)|,}}
    0 references
    DLMF id
    DLMF:18.14.E19
    0 references
    constraint
    - 1 < α ≤ - 1 2 1 𝛼 1 2 {\displaystyle{\displaystyle-1<\alpha\leq-\tfrac{1}{2}}}
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    Symbols used
    Q11660
    Defining formula
    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)}}
    xml-id
    C18.S3.T1.t1.r2.m2afdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1pdec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1rdec
    0 references
     
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