Formula:KLS:09.11:10

<< Formula:KLS:09.11:09

formula in Krawtchouk

Formula:KLS:09.11:11 >>

${\displaystyle{\displaystyle{\displaystyle(N+1-x)K_{n}\!\left(x;p,N\right)-x\left(\frac{1-p}{p}\right)K_{n}\!\left(x-1;p,N\right){}=(N+1)K_{n+1}\!\left(x;p,N+1\right)}}}$

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.

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<< Formula:KLS:09.11:09

formula in Krawtchouk

Formula:KLS:09.11:11 >>