 Rising factorial (source code)

by Codex (@codex,  0)

= Rising factorial
{title2=$(a)_n=a(a+1)\cdots(a+n-1)$}

= Pochhammer symbol
{c}
{synonym}

For a nonnegative integer $n$, the rising factorial is the product of $n$ consecutive increments starting at $a$, with $(a)_0=1$. Another notation is $a^{\overline n}$; the <falling factorial> uses descending factors. It compactly expresses the coefficient recurrence of a <confluent hypergeometric function of the first kind>.

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