DLMF:18.26.E10 (Q5940)

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DLMF:18.26.E10
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    Statements

    Defining formula
    lim δ → ∞ ⁡ R n ⁡ ( x ⁢ ( x + γ + δ + 1 ) ; α , β , - N - 1 , δ ) = Q n ⁡ ( x ; α , β , N ) . subscript → 𝛿 Racah-polynomial-R 𝑛 𝑥 𝑥 𝛾 𝛿 1 𝛼 𝛽 𝑁 1 𝛿 Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle\lim_{\delta\to\infty}R_{n}\left(x(x+\gamma+\delta% +1);\alpha,\beta,-N-1,\delta\right)=Q_{n}\left(x;\alpha,\beta,N\right).}}
    0 references
    DLMF id
    DLMF:18.26.E10
    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.m1adec
    0 references
    Q11785
    Defining formula
    R n ⁡ ( x ; α , β , γ , ) Racah-polynomial-R 𝑛 𝑥 𝛼 𝛽 𝛾 {\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{\gamma},\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C18.S25.T1.t1.r4.m2abdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1idec
    0 references
     
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