# Definition:monicKrawtchouk

The LaTeX DLMF and DRMF macro **\monicKrawtchouk** represents the monic Krawtchouk polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

**\monicKrawtchouk{n}**produces**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle \monicKrawtchouk{n}}}****\monicKrawtchouk{n}@{q^{-x}}{p}{N}{q}**produces**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle \monicKrawtchouk{n}@{q^{-x}}{p}{N}{q}}}****\monicKrawtchouk{n}@@{q^{-x}}{p}{N}{q}**produces**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle \monicKrawtchouk{n}@@{q^{-x}}{p}{N}{q}}}**

These are defined by
**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle \Krawtchouk{n}@{x}{p}{N}=:\frac{1}{\pochhammer{-N}{n}p^n}\monicKrawtchouk{n}@{x}{p}{N}. }}**

## Symbols List

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle {\widehat K}_{n}}}**
: monic Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:monicKrawtchouk

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle K_{n}}}**
: Krawtchouk polynomial : http://dlmf.nist.gov/18.19#T1.t1.r6

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://vmext-demo.wmflabs.org/v1/":): {\displaystyle {\displaystyle (a)_n}}**
: Pochhammer symbol : http://dlmf.nist.gov/5.2#iii