Definition.
Orthogonality.
Recurrence relation.
Normalized recurrence relation.
where
Difference equation.
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
Rodrigues-type formula.
Generating function.
Remark. The definition (1.11.1) of the Laguerre polynomials can also be written as :
In this way the Laguerre polynomials can be defined for all 
. Then we
have the following connection with the Charlier polynomials defined by
(1.12.1) :
References. [6], [10], [13], [19], [21], [31], [32], [39], [50], [64], [67], [81], [123], [124], [142], [154], [181], [183], [212], [222], [274], [286], [287], [288], [294], [296], [298], [301], [307], [316], [323], [388], [394], [407], [409].
