$$U_{32}(x, y) = \frac{\left(1 - x\right)^{2}}{- y + \left(1 - x\right)^{3}}$$

$$T_{32}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + 3 m + n - 1}{n}}}{k + m}$$