I am using two hypergeomtric functions with MATLAB:
$_2F_1(a, b, a+1, d)$ and $_2F_1(a+1, b, a+2, d)$, where $d$ is from the open interval $(0,1)$ and $a > 0$, $b < 0$, all real numbers
However, evaluation in Matlab is extremely slow. Are there ways I can formulate this into another function that is much faster. Or, if there is any relationship between the 1st and 2nd hypergeometric functions? I would like to be able to reduce computation time by half possibly.