and 
in the definition
(3.24.1) of the Al-Salam-Carlitz I polynomials and take the
limit 
after dividing by 
we obtain the Charlier
polynomials defined by (1.12.1) :
If we set and in the definition
(3.24.1) of the Al-Salam-Carlitz I polynomials and take the
limit after dividing by we obtain the Charlier
polynomials defined by (1.12.1) :
If we set 
and 
in the definition (3.24.1) of the Al-Salam-Carlitz I
polynomials, divide by 
, and let q tend to one we
obtain the Hermite polynomials given by (1.13.1) with shifted
argument. In fact we have
