Definition.
Orthogonality.
Recurrence relation.
Normalized recurrence relation.
where
q-Difference equation.
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
Generating functions.
Remark. The Al-Salam-Carlitz II polynomials are related to the Al-Salam-Carlitz I polynomials defined by (3.24.1) in the following way :
References. [13], [17], [19], [59], [84], [120], [121], [123], [132], [169], [216].
