DLMF:18.26.E11 (Q5941)

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DLMF:18.26.E11
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    Statements

    Defining formula
    lim t → ∞ ⁡ R n ⁡ ( x ⁢ ( x + t + 1 ) ; p ⁢ t , ( 1 - p ) ⁢ t , N ) = K n ⁡ ( x ; p , N ) . subscript → 𝑡 dual-Hahn-R 𝑛 𝑥 𝑥 𝑡 1 𝑝 𝑡 1 𝑝 𝑡 𝑁 Krawtchouk-polynomial-K 𝑛 𝑥 𝑝 𝑁 {\displaystyle{\displaystyle\lim_{t\to\infty}R_{n}\left(x(x+t+1);pt,(1-p)t,N% \right)=K_{n}\left(x;p,N\right).}}
    0 references
    DLMF id
    DLMF:18.26.E11
    0 references
    Symbols used
    Q11662
    Defining formula
    K n ⁡ ( x ; p , N ) Krawtchouk-polynomial-K 𝑛 𝑥 𝑝 𝑁 {\displaystyle{\displaystyle K_{\NVar{n}}\left(\NVar{x};\NVar{p},\NVar{N}% \right)}}
    xml-id
    C18.S19.T1.t1.r3.p1.m2adec
    0 references
    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.m2abdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1jdec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1ddec
    0 references
     
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