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The LaTeX DLMF and DRMF macro \AlSalamCarlitzII represents the Al-Salam-Carlitz II polynomial.

This macro is in the category of polynomials.

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

\AlSalamCarlitzII{a}{n} produces Failed to parse (unknown function "\AlSalamCarlitzII"): {\displaystyle {\displaystyle \AlSalamCarlitzII{a}{n}}}
\AlSalamCarlitzII{a}{n}@{x}{q} produces Failed to parse (unknown function "\AlSalamCarlitzII"): {\displaystyle {\displaystyle \AlSalamCarlitzII{a}{n}@{x}{q}}}

These are defined by Failed to parse (unknown function "\AlSalamCarlitzII"): {\displaystyle {\displaystyle \AlSalamCarlitzII{a}{n}@{x}{q}:= (-a)^nq^{-\binom{n}{2}}\,\qHyperrphis{2}{0}@@{q^{-n},x}{-}{q}{\frac{q^n}{a}}. }}

Symbols List

 : Al-Salam-Carlitz II polynomial :
 : binomial coefficient :
 : basic hypergeometric (or -hypergeometric) function :