Possible Duplicate: Prove 0! = 1 from first principles Why does 0! = 1? All I know of factorial is that x! is equal to the product of all the numbers that come before it. The product of 0 and anything …

Jun 5, 2021 · To find the factorial of a number, n n, you need to multiply n n by every number that comes before it. For example, if n = 4 n = 4, then n! = 24 n! = 24 since 4 ⋅ 3 ⋅ 2 ⋅ 1 = 24 4 ⋅ 3 ⋅ 2 …

Apr 21, 2015 · Factorial, but with addition [duplicate] Ask Question Asked 11 years, 6 months ago Modified 5 years, 10 months ago

Why is this? I know what a factorial is, so what does it actually mean to take the factorial of a complex number? Also, are those parts of the complex answer rational or irrational? Do …

It is a valid question to extend the factorial, a function with natural numbers as argument, to larger domains, like real or complex numbers. The gamma function also showed up several times as …

Why is the factorial defined in such a way that 0! = 1 0! = 1? and there are a number of explanations. The simplest, if you can wrap your head around degenerate cases, is that n! n! …

Jul 25, 2013 · Here's a good reference document from a few years back: Factorials as sums by Roberto Anglani and Margherita Barile. In this paper we give an additive representation of the …

Oct 19, 2016 · I'm curious, how is the factorial of a real number defined? Intuitively, it should be: x! = 0 x! = 0 if x ≤ 1 x ≤ 1 x! = ∞ x! = ∞ if x> 1 x> 1 Since it would be the product of all real …

A derivative of the factorial function exists if you can define factorials of non-integers is a smooth way, and that can be done by using the fact that n! =∫∞ 0 xne−xdx n! = ∫ 0 ∞ x n e − x d x.

And 0! = 1. However, this page seems to be saying that you can take the factorial of a fraction, like, for instance, 1 2!, which they claim is equal to 1 2√π due to something called the gamma …