1.7 Meixner-Pollaczek

Definition.

 

Orthogonality.

 

Recurrence relation.

 

Normalized recurrence relation.

 

where

Difference equation.

 

where

Forward shift operator.

 

or equivalently

 

Backward shift operator.

 

or equivalently

 

where

Rodrigues-type formula.

 

Generating functions.

 

 

 

References. [13], [19], [31], [43], [64], [67], [69], [113], [115], [123], [217], [220], [227], [239], [274], [276], [286], [287], [301], [316], [323], [338], [399], [404].




Last modified on June 16, 1998