ibeta6

]> ibeta6

\begin{matrix} I_{x} (a, b) & = & \frac{x^{a} y^{b}}{B (a, b)} (\frac{α_{1}}{β_{1} + \frac{α_{2}}{β_{2} + \frac{α_{3}}{β_{3} + \dots}}}) \\ α_{1} = 1, α_{m + 1} & = & \frac{(a + m - 1) (a + b + m - 1) m (b - m) x^{2}}{{(a + 2 m - 1)}^{2}} \\ β_{m + 1} & = & m + \frac{m (b - m) x}{a + 2 m - 1} + \frac{(a + m) (a - (a + b) x + 1 + m (2 - x))}{a + 2 m + 1} \end{matrix}