Formula:KLS:09.05:27

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formula in Hahn

Hahn >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6

Bibliography

Equation in Section 9.5 of KLS.

URL links

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formula in Hahn

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