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I have recently been pondering about the results of non-integer values of the gamma function. For those who don't know, the gamma function is basically defined as an extension to factorials. I have been trying to use some equations that would work on desmos or geogebra but that means I have no access to anything that approaches infinity (don't worry I'm getting to the point). Also, I have absolutely no idea how to factor out integrals. My question is this: is there a way to represent factorials without infinite sums, products, or integrals?

Thanks in advance.

 
 Oct 24, 2018

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