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A base with a raised bracket or overline, a product of ascending terms.
Also known as: Rising factorial, Ascending factorial, Upper factorial
The rising factorial multiplies upwards instead of down, and it shares its commonest notation — the Pochhammer symbol (x)_n — with the falling factorial. Which one (x)_n means depends on whether the text is combinatorics or special functions, and getting it wrong inverts the sequence.
Denotes the product of an ascending run of consecutive integers of specified length.
Contexts: Mathematics
Shares the Pochhammer notation (x)_n with the falling factorial: special-function literature reads it as rising, combinatorics literature as falling.
Contexts: Mathematics
Appears in the series definition of the hypergeometric functions, which is where most readers first meet it.
Contexts: Mathematics
A letter carrying a small parenthesised or overlined numeral raised to its upper right.