Formula:KLS:09.11:06

<< Formula:KLS:09.11:05

formula in Krawtchouk

Formula:KLS:09.11:08 >>

${\displaystyle{\displaystyle{\displaystyle-ny(x)=p(N-x)y(x+1){}-\left[p(N-x)+x(1-p)\right]y(x)+x(1-p)y(x-1)}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle y(x)=K_{n}\!\left(x;p,N\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : 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:09.11:05

formula in Krawtchouk

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