Gamma functions are how humans understand truth in number terms. One doesn't say there are 5 chairs but we also mean their arrangements, selection, combinations and all. So saying 5 chairs is poor representation of reality. Functions involving 5! are superior.
Euler made gamma functions. Nature can calculate 5.45! too. Decimal factorial. When one says factorial then it means whole numbers. When gamma functions then decimal factorial too apart from whole numbers.
50000.116!
50000.116! from my Sigma functions.
50000.116! from a standard formula
50000.116! from my latest formula
But why discrepancy and where and what are the errors ?
Only mathematicians can say. I do not know.
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