Description Usage Arguments Value References Examples
The falling factorial, denoted as (x)_{n} (or x^{\underline{n}}) is defined as the following:
(x)_n = x(x - 1) \cdots (x - (n - 1))
The first few falling factorials are then:
(x)_0 = 1
(x)_1 = x
(x)_2 = x(x - 1)
(x)_3 = x(x - 1)(x - 2)
(x)_4 = x(x - 1)(x - 2)(x - 3)
1 |
x |
integer |
n |
integer |
string representation of falling factorial function.
Falling and rising factorials. (2017, June 8). In Wikipedia, The Free Encyclopedia. From https://en.wikipedia.org/w/index.php?title=Falling_and_rising_factorials&oldid=784512036 Weisstein, Eric W. "Falling Factorial." From MathWorld–A Wolfram Web Resource. http://mathworld.wolfram.com/FallingFactorial.html
1 2 | fallingfactorial_function('x', 5)
fallingfactorial_function('a', 3)
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