4.21 q-Laguerre

Little q-Jacobi q-Laguerre.

  
If we substitute and in the definition (3.12.1) of the little q-Jacobi polynomials and then let b tend to infinity we find the q-Laguerre polynomials given by (3.21.1) :

q-Meixner q-Laguerre.

  
The q-Laguerre polynomials defined by (3.21.1) can be obtained from the q-Meixner polynomials given by (3.13.1) by setting and in the definition (3.13.1) of the q-Meixner polynomials and then taking the limit :

q-Laguerre Stieltjes-Wigert.

  
If we set in the definition (3.21.1) of the q-Laguerre polynomials and take the limit we simply obtain the Stieltjes-Wigert polynomials given by (3.27.1) :




Last modified on July 7, 1998