Definition.
Orthogonality. If a, b and c are positive except possibly for a pair of complex conjugates with positive real parts, then
If a < 0 and a+b, a+c are positive or a pair of complex conjugates with positive real parts, then
Recurrence relation.
where
and
Normalized recurrence relation.
where
Difference equation.
where
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
Generating functions.
References. [64], [223], [273], [274], [299], [300], [301], [304], [305], [391].
