$$U_{1163}(x, y) = \frac{4 y^{4} \left(1 - \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{y^{2}} + 1}\right)^{2}}{x^{2} \left(1 - \sqrt{1 - 4 y}\right)^{4}}$$

$$T_{1163}(n, m, k) = \frac{4 k n {\binom{2 k + 2 n - 1}{n}} {\binom{2 m + 2 n - 1}{m}}}{\left(2 k + n\right) \left(m + 2 n\right)}$$