DLMF:18.21.E1 (Q5853)

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DLMF:18.21.E1
No description defined

    Statements

    Defining formula
    Q n ⁡ ( x ; α , β , N ) = R x ⁡ ( n ⁢ ( n + α + β + 1 ) ; α , β , N ) , Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 dual-Hahn-R 𝑥 𝑛 𝑛 𝛼 𝛽 1 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{n}\left(x;\alpha,\beta,N\right)=R_{x}\left(n(n% +\alpha+\beta+1);\alpha,\beta,N\right),}}
    0 references
    DLMF id
    DLMF:18.21.E1
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    constraint
    n , x = 0 , 1 , … , N formulae-sequence 𝑛 𝑥 0 1 … 𝑁 {\displaystyle{\displaystyle n,x=0,1,\dots,N}}
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    Symbols used
    Q11768
    Defining formula
    Q n ⁡ ( x ; α , β , N ) Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}
    xml-id
    C18.S19.T1.t1.r2.m1adec
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    Q11769
    Defining formula
    R n ⁡ ( x ; γ , δ , N ) dual-Hahn-R 𝑛 𝑥 𝛾 𝛿 𝑁 {\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}
    xml-id
    C18.S25.T1.t1.r5.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
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    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1dec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1dec
    0 references
     
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