DLMF:18.9.E3 (Q5599)

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DLMF:18.9.E3
No description defined

    Statements

    Defining formula
    P n ( α , β - 1 ) ⁡ ( x ) - P n ( α - 1 , β ) ⁡ ( x ) = P n - 1 ( α , β ) ⁡ ( x ) , Jacobi-polynomial-P 𝛼 𝛽 1 𝑛 𝑥 Jacobi-polynomial-P 𝛼 1 𝛽 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 𝑥 {\displaystyle{\displaystyle P^{(\alpha,\beta-1)}_{n}\left(x\right)-P^{(\alpha% -1,\beta)}_{n}\left(x\right)=P^{(\alpha,\beta)}_{n-1}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.9.E3
    0 references
    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.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1bdec
    0 references
     
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