Definition.
where
Orthogonality. For 
and 
or for
and 
we have
Recurrence relation.
where
and
Normalized recurrence relation.
where
q-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. The dual q-Hahn polynomials defined by (3.7.1) and the q-Hahn polynomials given by (3.6.1) are related in the following way :
with
or
where
References. [29], [31], [62], [64], [67], [193], [263], [323], [385].
