DLMF:18.20.E6 (Q5847): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11662 / rank
 
Normal rank
Property / Symbols used: Q11662 / qualifier
 
test:

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)}}

\KrawtchoukpolyK{\NVar{n}}@{\NVar{x}}{\NVar{p}}{\NVar{N}}
Property / Symbols used: Q11662 / qualifier
 
xml-id: C18.S19.T1.t1.r3.p1.m2aadec

Revision as of 00:31, 2 January 2020

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DLMF:18.20.E6
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    Statements

    test
    K n ⁡ ( x ; p , N ) = F 1 2 ⁡ ( - n , - x - N ; p - 1 ) , Krawtchouk-polynomial-K 𝑛 𝑥 𝑝 𝑁 Gauss-hypergeometric-F-as-2F1 𝑛 𝑥 𝑁 superscript 𝑝 1 {\displaystyle{\displaystyle K_{n}\left(x;p,N\right)={{}_{2}F_{1}}\left({-n,-x% \atop-N};p^{-1}\right),}}
    0 references
    DLMF id
    DLMF:18.20.E6
    0 references
    constraint
    n = 0 , 1 , … , N 𝑛 0 1 … 𝑁 {\displaystyle{\displaystyle n=0,1,\dots,N}}
    0 references
    Symbols used
    Q11581
    test
    F 1 2 ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}
    xml-id
    C16.S2.m5adec
    0 references
    Q11662
    test
    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.m2aadec
    0 references
     
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