I was playing around with gamma function approximations and I was curious of which approximation Desmos uses. It extends negatives so it can’t be the Stirling formula. Does anyone know what it is?
2026-04-13 12:33:12.1776083592
Desmos Factorial function
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Ok so I think I found what it uses. Thanks to @eyeballfrog for suggesting the reflection formula. I did a bit of research and found the Lanczos Approximation combined with the reflection formula to match the factorial function is Desmos almost perfectly. Here is the graph. I’ve also made a C++ implementation of the algorithm if anyone else wants to use it here