DLMF:18.21.E7 (Q5861)

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DLMF:18.21.E7
No description defined

    Statements

    Defining formula
    lim β → ∞ ⁡ M n ⁡ ( x ; β , a ⁢ ( a + β ) - 1 ) = C n ⁡ ( x ; a ) . subscript → 𝛽 Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑎 superscript 𝑎 𝛽 1 Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle\lim_{\beta\to\infty}M_{n}\left(x;\beta,a(a+\beta)% ^{-1}\right)=C_{n}\left(x;a\right).}}
    0 references
    DLMF id
    DLMF:18.21.E7
    0 references
    Symbols used
    Q11565
    Defining formula
    C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S19.T1.t1.r5.m2abdec
    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.m2abdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1fdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1fdec
    0 references
     
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