Continuous Hahn.
Continuous Hahn.
The continuous Hahn polynomials defined by (1.4.1) are obtained from
the Wilson polynomials by the substitution 
, 
,
, 
and 
in the definition
(1.1.1) of the Wilson polynomials and the limit 
in the following way :
Meixner-Pollaczek.
By taking 
, 
, 
and 
in the definition (1.4.1) of the continuous Hahn polynomials and taking the limit 
we obtain the Meixner-Pollaczek polynomials defined by (1.7.1) :
Jacobi.
The Jacobi polynomials defined by (1.8.1) follow from the continuous Hahn polynomials
by the substitution 
, 
,
, 
and 
in (1.4.1), division by 
and the limit 
:
