Formula:5795

Digital Library of Mathematical Functions ID 15.9.E8

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

Constraint(s)

${\displaystyle{\displaystyle n=0,1,2,\dots,N}}$

Symbols List

• ${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
• ${\displaystyle{\displaystyle K_{\NVar{n}}\left(\NVar{x};\NVar{p},\NVar{N}\right)}}$: Krawtchouk polynomial
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle n}}$: integer
 

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