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Gamma, Beta, Erf > Factorial2[n] > Introduction to the factorials and binomials

A quick look at the factorials and binomials

Here is a quick look at the graphics for the factorial the real axis.

And here is a quick view of the bivariate binomial and Pochhammer functions. For positive arguments, both functions are free of singularities. For negative arguments, the functions have a complicated structure with many singularities.