Definition:monicAlSalamCarlitzI

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Definition:monicAlSalamCarlitzII >>

The LaTeX DLMF and DRMF macro \monicAlSalamCarlitzI represents the monic ${\displaystyle{\displaystyle q}}$ 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:

\monicAlSalamCarlitzI{a}{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{U}}^{(a)}_{n}}}}$

\monicAlSalamCarlitzI{a}{n}@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{U}}^{(a)}_{n}\!\left(x;q\right)}}}$

\monicAlSalamCarlitzI{a}{n}@@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{U}}^{(a)}_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle U^{(a)}_{n}\!\left(x;q\right):={\widehat{U}}^{(a)}_{n}\!\left(x;q\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{U}}^{(\alpha)}_{n}}}}$ : monic Al-Salam-Carlitz I polynomial : http://drmf.wmflabs.org/wiki/Definition:monicAlSalamCarlitzI
${\displaystyle{\displaystyle{\displaystyle U^{(n)}_{\alpha}}}}$ : Al-Salam-Carlitz I polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzI

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Definition:monicAlSalamCarlitzII >>