Definition talk:Gamma Function

From ProofWiki
Jump to navigation Jump to search

I wish to refer to the gamma function shifted by $1$, so that $f(x) = x!$ whenever $x \in \N$. How should I refer to my new function? --kc_kennylau (talk) 01:00, 23 December 2016 (EST) More specifically, I am using the function in Shifted Gamma Function is not of Exponential Order, in which the function must be shifted. --kc_kennylau (talk) 01:19, 23 December 2016 (EST)

Call it the factorial, everybody else does. --prime mover (talk) 01:46, 23 December 2016 (EST)
I can only find the unextended factorial referred to as "factorial" in $\mathsf{Pr} \infty \mathsf{fWiki}$. --kc_kennylau (talk) 06:45, 23 December 2016 (EST)
That is because when it was put together, the extension of factorial to reals and complex numbers had not been written. It needs to be borne in mind that PoofWiki is still incomplete, and the knowledge contained within it is based largely upon the work of a substandard mathematician who has no authority, permission or legal entitlement to discuss mathematics under any circumstances, which is why everything he does is contributed under a pseudonym. Until the authorities catch up with me, I will continue to commit this act of defiance and be damned to the world. --prime mover (talk) 08:05, 23 December 2016 (EST)
The word "factorial" is used in Stirling's Formula. --kc_kennylau (talk) 10:25, 23 December 2016 (EST)