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    Falling Factorial Power

    Definition

    The falling factorial (x)_n, sometimes also denoted x^(n__) , is defined by (x)_n = x(x - 1)...(x - (n - 1)) for n>=0. Is also known as the binomial polynomial, lower factorial, falling factorial power , or factorial power. The falling factorial is related to the rising factorial x^(n) (a.k.a. Pochhammer symbol) by (x)_n = (-1)^n (-x)^(n), The falling factorial is implemented in the Wolfram Language as FactorialPower[x, n].

    Related Wolfram Language symbol

    FactorialPower

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