For the discussion of math. Duh.
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I've been making an algorithm for the regularized incomplete beta function, which pretty much just uses the continued fraction given here, along with the property that Ix(a, b) = I1-x(b, a), which works, mostly. The algorithm has an error when a or b are negative integers, which makes sense because the gamma function, which is evaluated at both a and b in the definition, is undefined at negative integers. The thing is, wolfram|alpha has no problem with it. There are a few more examples of this, but what I would really like is an explicit domain of the regularized incomplete beta function, for imaginary arguments as well as real ones. Can anyone help with this?
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