Formula:KLS:09.11:26

<< Formula:KLS:09.11:25

formula in Krawtchouk

Formula:KLS:09.11:27 >>

${\displaystyle{\displaystyle{\displaystyle K_{N}\!\left(x;p,N\right)=(1-p^{-1})^{x}\qquad(x\in\{0,1,\ldots,N\})}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6
${\displaystyle{\displaystyle{\displaystyle\in}}}$ : element of : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r9

Bibliography

Equation in Section 9.11 of KLS.

URL links

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<< Formula:KLS:09.11:25

formula in Krawtchouk

Formula:KLS:09.11:27 >>