Formula:KLS:09.11:17

<< Formula:KLS:09.11:16

formula in Krawtchouk

Formula:KLS:09.11:18 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{t\rightarrow\infty}R_{n}\!\left(\lambda(x);pt,(1-p)t,N\right)=K_{n}\!\left(x;p,N\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r5
${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6

Bibliography

Equation in Section 9.11 of KLS.

URL links

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<< Formula:KLS:09.11:16

formula in Krawtchouk

Formula:KLS:09.11:18 >>