# §18.35 Pollaczek Polynomials

## §18.35(i) Definition and Hypergeometric Representation

Next, let

18.35.3.

Then

For the hypergeometric function see §§15.1, 15.2(i).

## §18.35(iii) Other Properties

See Bo and Wong (1996) for an asymptotic expansion of as , with and fixed. This expansion is in terms of the Airy function and its derivative (§9.2), and is uniform in any compact -interval in . Also included is an asymptotic approximation for the zeros of .