DLMF:18.21.E1 (Q5853): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11769 / rank
 
Normal rank
Property / Symbols used: Q11769 / qualifier
 
test:

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.m2adec

Revision as of 00:32, 2 January 2020

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DLMF:18.21.E1
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    Statements

    Q n ( x ; α , β , N ) = R x ( n ( n + α + β + 1 ) ; α , β , N ) , Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 dual-Hahn-R 𝑥 𝑛 𝑛 𝛼 𝛽 1 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{n}\left(x;\alpha,\beta,N\right)=R_{x}\left(n(n% +\alpha+\beta+1);\alpha,\beta,N\right),}}
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    n , x = 0 , 1 , , N formulae-sequence 𝑛 𝑥 0 1 𝑁 {\displaystyle{\displaystyle n,x=0,1,\dots,N}}
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    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)}}
    C18.S19.T1.t1.r2.m1adec
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    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)}}
    C18.S25.T1.t1.r5.m2adec
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