e-mail: jdb@math.arizona.edu

**Elliptic Polynomials**

**Abstract**

This talk is about sequences of polynomials $\{P_n(x)\}$, some of which
are orthogonal, that come from generating functions $\exp(xf(t))$, where
f is either an odd Jacobi elliptic function or an odd elliptic integral
of the first kind. One of the results of the study is information about
the coefficients of the Maclaurin expansion of an odd Jacobi elliptic function
such as $\sn(x,k)$. This is part of joint work with John Lomont that will
soon appear in a book titled "Elliptic Polynomials" to be published by
Chapman & Hall/CRC Press.