# §18.20 Hahn Class: Explicit Representations

## §18.20(i) Rodrigues Formulas

For comments on the use of the forward-difference operator , the backward-difference operator , and the central-difference operator , see §18.2(ii).

### ¶ Hahn, Krawtchouk, Meixner, and Charlier

In (18.20.1) and are as in Table 18.19.1. For the Hahn polynomials and

18.20.2

For the Krawtchouk, Meixner, and Charlier polynomials, and are as in Table 18.20.1.

## §18.20(ii) Hypergeometric Function and Generalized Hypergeometric Functions

For the definition of hypergeometric and generalized hypergeometric functions see §16.2.

(For symmetry properties of with respect to , , , see Andrews et al. (1999, Corollary 3.3.4).)