Gamma and Factorial | Mathematics | Page 1

opaque flax Nov 12, 2025, 4:29 PM

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Is the gamma function actually the factorial?
Is gamma(n) actually (n-1)!
?

Is (1/2)! actually sqrt(pi)/2 or we just interpret it as gamma(3/2)

warm forumBOT Nov 12, 2025, 4:29 PM

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fading thistle Nov 12, 2025, 5:30 PM

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$\Gamma(n) = (n-1)!$ if $n$ is a positive integer, yes

ruby violetBOT Nov 12, 2025, 5:30 PM

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cloud ☁

fading thistle Nov 12, 2025, 5:31 PM

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i wouldn't really think of $(1/2)!$ as being a mathematically meaningful expression other than possibly being a shorthand for $\Gamma(3/2)$

ruby violetBOT Nov 12, 2025, 5:31 PM

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cloud ☁

opaque flax Nov 12, 2025, 5:47 PM

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okay thank you

opaque flax Nov 12, 2025, 5:47 PM

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and what a cool font btw

fading thistle Nov 12, 2025, 5:48 PM

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thanks! it's a clone of palatino, available via the newpx latex package

opaque flax Nov 12, 2025, 5:54 PM

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and I... forgot how to change font in texit

#Gamma and Factorial