# §18.10 Integral Representations

## §18.10(i) Dirichlet-Mehler-Type Integral Representations

### ¶ Legendre

18.10.2.

Generalizations of (18.10.1) are given in Gasper (1975, (6),(8)) and Koornwinder (1975a, (5.7),(5.8)).

## §18.10(iii) Contour Integral Representations

Table 18.10.1 gives contour integral representations of the form

18.10.8

for the Jacobi, Laguerre, and Hermite polynomials. Here is a simple closed contour encircling once in the positive sense.