Definition:qKrawtchouk

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The LaTeX DLMF and DRMF macro \qKrawtchouk represents the -Krawtchouk polynomial.

This macro is in the category of polynomials.

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

\qKrawtchouk{n} produces Failed to parse (unknown function "\qKrawtchouk"): {\displaystyle {\displaystyle \qKrawtchouk{n}}}
\qKrawtchouk{n}@{q^{-x}}{p}{N}{q} produces Failed to parse (unknown function "\qKrawtchouk"): {\displaystyle {\displaystyle \qKrawtchouk{n}@{q^{-x}}{p}{N}{q}}}
\qKrawtchouk{n}@@{q^{-x}}{p}{N}{q} produces Failed to parse (unknown function "\qKrawtchouk"): {\displaystyle {\displaystyle \qKrawtchouk{n}@@{q^{-x}}{p}{N}{q}}}

These are defined by Failed to parse (unknown function "\qKrawtchouk"): {\displaystyle \qKrawtchouk{n}@{q^{-x}}{p}{N}{q}:=\qHyperrphis{3}{2}@@{q^{-n},q^{-x},-pq^n}{q^{-N},0}{q}{q}. \end{equation} }

Symbols List

 : -Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:qKrawtchouk
 : basic hypergeometric (or -hypergeometric) function : http://dlmf.nist.gov/17.4#E1