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Factorial of non-integer and negative numbers

Factorial of non-integer and negative numbers

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#1 10132334 13 Nov 2011 01:17

iagre iagre

Level 35

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Post #1
10132334 13 Nov 2011 01:17

Can you calculate the factorial for fractional and negative numbers?
It turns out yes! .Calc.exe in Windows 2000 and Windows XP can calculate it
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#2 10132370 13 Nov 2011 01:54

Taenia_Saginata Taenia_Saginata

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10132370 13 Nov 2011 01:54

You can.

I don't know what it looks like in xp, but the calculator in 7 counts the values of the pi function:

$$\Pi(z)=\int_0^\infty t^ze^{-t}dt$$

very similar to the gamma function.

http://pl.wikipedia.org/wiki/Funkcja_%CE%93

For non-negative integers, the function coincides with the factorial. For negative integers it does not count. Everything is OK.
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