DLMF:18.21.E4 (Q5858)

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DLMF:18.21.E4
No description defined

    Statements

    Defining formula
    lim N → ∞ ⁡ Q n ⁡ ( x ; b - 1 , N ⁢ ( c - 1 - 1 ) , N ) = M n ⁡ ( x ; b , c ) . subscript → 𝑁 Hahn-polynomial-Q 𝑛 𝑥 𝑏 1 𝑁 superscript 𝑐 1 1 𝑁 Meixner-polynomial-M 𝑛 𝑥 𝑏 𝑐 {\displaystyle{\displaystyle\lim_{N\to\infty}Q_{n}\left(x;b-1,N(c^{-1}-1),N% \right)=M_{n}\left(x;b,c\right).}}
    0 references
    DLMF id
    DLMF:18.21.E4
    0 references
    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.m1abdec
    0 references
    Q11663
    Defining formula
    M n ⁡ ( x ; β , c ) Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 {\displaystyle{\displaystyle M_{\NVar{n}}\left(\NVar{x};\NVar{\beta},\NVar{c}% \right)}}
    xml-id
    C18.S19.T1.t1.r4.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1cdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1cdec
    0 references
     
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