Formula:6588

Digital Library of Mathematical Functions ID 18.22.E21

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

Symbols List

• ${\displaystyle{\displaystyle K_{\NVar{n}}\left(\NVar{x};\NVar{p},\NVar{N}\right)}}$: Krawtchouk polynomial
• ${\displaystyle{\displaystyle\Delta}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: positive integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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