Krawtchouk.
Krawtchouk.
If we take 
and 
in the definition (1.5.1)
of the Hahn polynomials and let 
we obtain the
Krawtchouk polynomials defined by (1.10.1) :
Krawtchouk.
In the same way we find the Krawtchouk polynomials from the dual Hahn polynomials
by setting 
, 
in (1.6.1) and let 
:
Charlier.
The Charlier polynomials given by (1.12.1) can be found from the Krawtchouk polynomials defined
by (1.10.1) by taking 
and let 
:
Hermite.
The Hermite polynomials follow from the Krawtchouk polynomials defined by
(1.10.1) by setting 
and
then letting 
:
