Definition.
Orthogonality.
Recurrence relation.
where
Normalized recurrence relation.
where
q-Difference equation.
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
where
Generating functions.
Remark. The q-Charlier polynomials defined by (3.23.1) and the q-Laguerre polynomials given by (3.21.1) are related in the following way :
References. [28], [67], [193], [208], [261], [323], [410].
