Definition.
Orthogonality.
Recurrence relation.
where
Normalized recurrence relation.
where
q-Difference equation.
where
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
where
Generating functions.
Remark. The alternative q-Charlier polynomials defined by (3.22.1) and the q-Laguerre polynomials given by (3.21.1) related in the following way :
References. No references known.
