Negative factorial

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Negative factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n: n ! = n ⋅ ( n − 1 ) ⋅ ( n − 2 ) ... ,由 AK Thukral 著作 · 2014 · 被引用 9 次 — As per the present concept, the factorials of real negative numbers, are complex numbers. The factorials of real negative integers have their ... , ,The factorial function is defined for non-negative integers only, that is, for the numbers [math]0, 1, 2, 3, -ldots[/math]. It is defined as [math]0! = 1[/math] [math]n! ,There are plenty of functions that interpolate the factorials, some of them extend to the negative integers as well. Hadamard's Gamma function is entire, logarithmic ... ,The factorials of negative integers have no defined meaning. Reason: We know that factorials satisfy x⋅(x−1)!=x!. However, if there was a (−1)!, then we'd be ...

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Negative factorial 相關參考資料
Factorial - Wikipedia

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n: n ! = n ⋅ ( n − 1 ) ⋅ ( n − 2 ) ...

https://en.wikipedia.org

Factorials of real negative and imaginary ... - NCBI - NIH

由 AK Thukral 著作 · 2014 · 被引用 9 次 — As per the present concept, the factorials of real negative numbers, are complex numbers. The factorials of real negative integers have their ...

https://www.ncbi.nlm.nih.gov

Factorials of real negative and imaginary numbers - A new ...

https://link.springer.com

Is the factorial of a negative number possible? - Quora

The factorial function is defined for non-negative integers only, that is, for the numbers [math]0, 1, 2, 3, -ldots[/math]. It is defined as [math]0! = 1[/math] [math]n!

https://www.quora.com

The factorial of -1, -2, -3, - MathOverflow

There are plenty of functions that interpolate the factorials, some of them extend to the negative integers as well. Hadamard's Gamma function is entire, logarithmic ...

https://mathoverflow.net

What does the factorial of a negative number signify ...

The factorials of negative integers have no defined meaning. Reason: We know that factorials satisfy x⋅(x−1)!=x!. However, if there was a (−1)!, then we'd be ...

https://math.stackexchange.com