$$U_{193}(x, y) = \frac{- \sqrt{1 - 4 y} + \sqrt{2} \sqrt{8 x y^{2} - 2 y - \sqrt{1 - 4 y} + 1} + 1}{4 y}$$

$$T_{193}(n, m, k) = \begin{cases}1&\text{if m=0 and n=0} ,\ \\\frac{\left(-1\right)^{n - 1} k {\binom{- k + 2 n - 1}{n - 1}}}{n}&\text{if n>0} ,\ \\\frac{\left(-1\right)^{m + n - 1} k {\binom{- k + 2 n}{n}} {\binom{- k - m + 2 n - 1}{m - 1}}}{m}&\text{if m>0} \end{cases} $$