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DLMF:18.26.E9 - MaRDI portal

DLMF:18.26.E9 (Q6635)

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DLMF:18.26.E9
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    Statements

    DLMF defining formula
    lim β → ∞ ⁡ R n ⁡ ( x ; - N - 1 , β , γ , δ ) = R n ⁡ ( x ; γ , δ , N ) . subscript → 𝛽 Racah-polynomial-R 𝑛 𝑥 𝑁 1 𝛽 𝛾 𝛿 dual-Hahn-R 𝑛 𝑥 𝛾 𝛿 𝑁 {\displaystyle{\displaystyle\lim_{\beta\to\infty}R_{n}\left(x;-N-1,\beta,% \gamma,\delta\right)=R_{n}\left(x;\gamma,\delta,N\right).}}
    0 references
    Symbols used
    Racah polynomial
    DLMF 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.m2aadec
    0 references
    dual Hahn polynomial
    DLMF 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.m2aadec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1hdec
    0 references
    positive integer
    DLMF defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1bdec
    0 references
    arbitary small positive constant
    DLMF defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C18.S1.XMD8.m1bdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ddec
    0 references

    Identifiers

     
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