4.20 Little q-Laguerre

Big q-Laguerre Little q-Laguerre / Wall.

    
The little q-Laguerre (or Wall) polynomials defined by (3.20.1) can be obtained from the big q-Laguerre polynomials by taking in (3.11.1) and then letting :

Little q-Jacobi Little q-Laguerre / Wall.

    
The little q-Laguerre (or Wall) polynomials defined by (3.20.1) are little q-Jacobi polynomials with b = 0. So if we set b = 0 in the definition (3.12.1) of the little q-Jacobi polynomials we obtain the little q-Laguerre (or Wall) polynomials :

Affine q-Krawtchouk Little q-Laguerre / Wall.

    
If we set in the definition (3.16.1) of the affine q-Krawtchouk polynomials and take the limit we simply obtain the little q-Laguerre (or Wall) polynomials defined by (3.20.1) :




Last modified on July 7, 1998