2.6 Dual Hahn

Racah Dual Hahn.

  
If we take and let in (1.2.1), then we obtain the dual Hahn polynomials from the Racah polynomials. So we have

And if we take and let in (1.2.1), then we also obtain the dual Hahn polynomials :

Finally, if we take and in the definition (1.2.1) of the Racah polynomials and take the limit we find the dual Hahn polynomials given by (1.6.1) in the following way :

Dual Hahn Meixner.

  
To obtain the Meixner polynomials from the dual Hahn polynomials we have to take and in the definition (1.6.1) of the dual Hahn polynomials and let :

Dual Hahn Krawtchouk.

  
In the same way we find the Krawtchouk polynomials from the dual Hahn polynomials by setting , in (1.6.1) and let :




Last modified on June 29, 1998