Definition.
Orthogonality. If , and , then
Recurrence relation.
where
and
Normalized recurrence relation.
where
Difference equation.
where
and
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
Generating functions.
References. [41], [43], [67], [68], [76], [205], [260], [274], [299], [301], [303].