The continuous q-Hermite polynomials defined by (3.26.1)
can easily be obtained from the continuous big q-Hermite polynomials given by
(3.18.1) by taking a = 0 :
The continuous q-Hermite polynomials given by (3.26.1) can
be obtained from the continuous q-Laguerre polynomials defined by
(3.19.1) by taking the limit in the
following way :