2.11 Laguerre

Meixner-Pollaczek Laguerre.

  
The Laguerre polynomials can be obtained from the Meixner-Pollaczek polynomials defined by (1.7.1) by the substitution , and letting :

Jacobi Laguerre.

  
The Laguerre polynomials can be obtained from the Jacobi polynomials defined by (1.8.1) by letting and then :

Meixner Laguerre.

  
If we take and in the definition (1.9.1) of the Meixner polynomials and let we obtain the Laguerre polynomials :

Laguerre Hermite.

  
The Hermite polynomials defined by (1.13.1) can be obtained from the Laguerre polynomials given by (1.11.1) by taking the limit in the following way :




Last modified on June 29, 1998