2.12 Charlier

Meixner Charlier.

  
If we take in the definition (1.9.1) of the Meixner polynomials and let we find the Charlier polynomials :

Krawtchouk Charlier.

  
The Charlier polynomials given by (1.12.1) can be found from the Krawtchouk polynomials defined by (1.10.1) by taking and let :

Charlier Hermite.

  
If we set in the definition (1.12.1) of the Charlier polynomials and let we find the Hermite polynomials defined by (1.13.1). In fact we have