Definition.
where
and
Orthogonality.
where
and
Recurrence relation.
where
and
hence
and
Normalized recurrence relation.
where
Difference equation.
where
and
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
where
Generating functions. For 
we have
Remark.
If we set 
, 
, 
, 
and 
in the definition (1.2.1) of the Racah polynomials we obtain
the Wilson polynomials defined by (1.1.1) :
References. [43], [62], [64], [67], [69], [145], [274], [297], [301], [323], [331], [341], [343], [399].
