in the
definition (3.18.1) of the continuous big q-Hermite
polynomials and let q tend to one, we obtain the Hermite polynomials given
by (1.13.1) in the following way :
If we set a = 0 and in the
definition (3.18.1) of the continuous big q-Hermite
polynomials and let q tend to one, we obtain the Hermite polynomials given
by (1.13.1) in the following way :
If we take 
and
in the definition
(3.18.1) of the continuous big q-Hermite polynomials and
take the limit 
we find the Hermite polynomials defined by
(1.13.1) with shifted argument :
