DLMF:18.26.E9 (Q5939): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11785 / rank
 
Normal rank
Property / Symbols used: Q11785 / qualifier
 
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}}}

\RacahpolyR{\NVar{n}}@{\NVar{x}}{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{% \NVar{\delta}}
Property / Symbols used: Q11785 / qualifier
 
xml-id: C18.S25.T1.t1.r4.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11769 / rank
 
Normal rank
Property / Symbols used: Q11769 / qualifier
 
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)}}

\dualHahnpolyR{\NVar{n}}@{\NVar{x}}{\NVar{\gamma}}{\NVar{\delta}}{\NVar{N}}
Property / Symbols used: Q11769 / qualifier
 
xml-id: C18.S25.T1.t1.r5.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11736 / rank
 
Normal rank
Property / Symbols used: Q11736 / qualifier
 
Defining formula:

N 𝑁 {\displaystyle{\displaystyle N}}

N
Property / Symbols used: Q11736 / qualifier
 
xml-id: C18.S1.XMD7.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11754 / rank
 
Normal rank
Property / Symbols used: Q11754 / qualifier
 
Defining formula:

δ 𝛿 {\displaystyle{\displaystyle\delta}}

\delta
Property / Symbols used: Q11754 / qualifier
 
xml-id: C18.S1.XMD8.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1ddec

Latest revision as of 01:44, 2 January 2020

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DLMF:18.26.E9
No description defined

    Statements

    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
    DLMF id
    DLMF:18.26.E9
    0 references
    Symbols used
    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.m2aadec
    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.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1hdec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1bdec
    0 references
    Q11754
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C18.S1.XMD8.m1bdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ddec
    0 references
     
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