Formula:KLS:09.11:18

<< Formula:KLS:09.11:17

formula in Krawtchouk

Formula:KLS:09.11:19 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{N\rightarrow\infty}K_{n}\!\left(x;N^{-1}a,N\right)=C_{n}\!\left(x;a\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6
${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : Charlier polynomial : http://dlmf.nist.gov/18.19#T1.t1.r11

Bibliography

Equation in Section 9.11 of KLS.

URL links

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<< Formula:KLS:09.11:17

formula in Krawtchouk

Formula:KLS:09.11:19 >>