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The Pochhammer notation \((a)_k\) (also called Pochhammer’s symbol) is supported by the
binary operator Pochhammer(a,k)
. For a non-negative integer \(k\), it is defined as
(http://dlmf.nist.gov/5.2.iii)
For \(a \neq 0, -1, -2, -3, \ldots \), this is equivalent to
exp
is on). With rounded
off, this expression is evaluated numerically if \(a\) is
numerical and \(k\) is integral, and otherwise may be simplified where appropriate. The
simplification rules are based upon algorithms supplied by Wolfram Koepf
[Koe92].
The Pochhammer symbol is used quite extensively in the simplification and numerical evaluation of special functions.
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