, 
and
in the definition (3.8.1) of
the Al-Salam-Chihara polynomials and take the limit 
we obtain
the Meixner-Pollaczek polynomials given by (1.7.1) in the following
way :
If we set , and
in the definition (3.8.1) of
the Al-Salam-Chihara polynomials and take the limit we obtain
the Meixner-Pollaczek polynomials given by (1.7.1) in the following
way :
