If we take , in the definition (1.5.1)
of the Hahn polynomials and let we find the Meixner
polynomials given by (1.9.1) :
To obtain the Meixner polynomials from the dual Hahn polynomials we have to take
and in the definition (1.6.1) of
the dual Hahn polynomials and let :
If we take and in the definition
(1.9.1) of the Meixner polynomials and let we obtain
the Laguerre polynomials :
If we take in the definition (1.9.1) of the Meixner polynomials
and let we find the Charlier polynomials :