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What is the factorial of -½?

Check out https://KiwiCo.com/StandUpMaths to get 50% off your first month of any crate! Here is all the integration you ever wanted over on my second channel:    • Some light integration to show the re...   Thanks to Ben Sparks for helping with all of the plots for this video. Ben's companion video on their channel here!    • Factorials and the Gamma Function (Ge...   It's the Gamma Function of MathWorld, but look out for the off-by-one feature. https://mathworld.wolfram.com/GammaFu... Cheers to all of my Patreon supporters who mean I can justify squeezing in one more video while I am technically away. We filmed this days before I left for Antarctica. I'm writing this blurb from the middle of the ocean right now. I mean, there is a ship between me and the water. So we're all good. But yes, as I was saying, thanks to my Patreon supporters! They have not paid for any of this trip, but knowing they are all out there helps me justify so much time spent making videos. You too can help me produce videos from all seven continents:   / standupmaths   CORRECTIONS - None yet, let me know if you spot anything mistakes! Filming and editing by Alex Genn-Bash Animations and equations by Ben Sparks Written and performed by Matt of the Antarctic Music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ US book: https://www.penguinrandomhouse.com/bo... UK book: https://mathsgear.co.uk/collections/b...