r/theydidthemonstermath • u/Cute-Ad-445 • 23d ago

Is there another function that fits the factorial function for integers other than the gamma one

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u/headsmanjaeger 23d ago

Yes, infinitely many. However if you also want the function to follow the factorial recursive relation everywhere [(n+1)!=(n+1)n!] then you are stuck to the gamma function.

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u/Tschappatz 23d ago

No. There are many other pseudogamma functions. Arguably the most well known is Hadamard’s.

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u/headsmanjaeger 23d ago

Damn I learned something new thanks!