Falling and rising factorials

（重定向自Falling factorial）

In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation $(x) n$ , where $n$ is a non-negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial as defined below. Care needs to be taken to check which interpretation is being used in any particular article. Pochhammer himself actually used $(x) n$ with yet another meaning, namely to denote the binomial coefficient $\tbinom xn$ .

单词	Falling factorial
释义	Falling factorial 英语百科 Falling and rising factorials （重定向自Falling factorial） In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation $(x) n$ , where $n$ is a non-negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial as defined below. Care needs to be taken to check which interpretation is being used in any particular article. Pochhammer himself actually used $(x) n$ with yet another meaning, namely to denote the binomial coefficient $\tbinom xn$ .
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