- #1
waht
- 1,501
- 4
If we define an addictive factorial for any integer n:
f(n) = n + (n-1) + (n-2) ... 0
1!+ = 1
2!+ = 2+1 = 3
3!+ = 3+2+1 = 6
4!+ = 4+3+2+1 = 10
5!+ = 15
is it possible to extend it to real or possibly complex numbers by analytic continuation?
just like the gamma function extends the factorial.
f(n) = n + (n-1) + (n-2) ... 0
1!+ = 1
2!+ = 2+1 = 3
3!+ = 3+2+1 = 6
4!+ = 4+3+2+1 = 10
5!+ = 15
is it possible to extend it to real or possibly complex numbers by analytic continuation?
just like the gamma function extends the factorial.
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