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The LaTeX DLMF and DRMF macro \AlSalamCarlitzI represents the Al-Salam-Carlitz I polynomial.

This macro is in the category of polynomials.

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

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

These are defined by Failed to parse (unknown function "\AlSalamCarlitzI"): {\displaystyle {\displaystyle \AlSalamCarlitzI{a}{n}@{x}{q}:=(-a)^nq^{\binom{n}{2}}\,\qHyperrphis{2}{1}@@{q^{-n},x^{-1}}{0}{q}{\frac{qx}{a}}. }}

Symbols List

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