Definition.
Orthogonality. For 0 < a < 1 we have
where
with
Recurrence relation.
Normalized recurrence relation.
where
q-Difference equation.
where
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
Rodrigues-type formula.
Generating functions.
References. [13], [20], [55], [64], [113], [217].