Two Coefficients of the Dyson Product

Abstract

In this paper, the closed-form expressions for the coefficients of $\frac{x_r^2}{x_s^2}$ and $\frac{x_r^2}{x_sx_t}$ in the Dyson product are found by applying an extension of Good's idea. As onsequences, we find several interesting Dyson style constant term identities.

11 pages