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QPochhammer

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

QPochhammer[a, q, n]
    gives the q-Pochhammer symbol prod_{k=0}^{n-1} (1 - a q^k).
QPochhammer[a, q] gives the infinite q-Pochhammer (a;q)_Inf for |q|<1. The finite form is exact/symbolic for a non-negative integer n; the infinite form evaluates for machine-real a, q. Listable, NumericFunction.

Examples

All examples below are verified against the current Mathilda build.

In[1]:= QPochhammer[a, q, 3]
Out[1]= (1 - a) (1 - a q) (1 - a q^2)

Implementation notes

Attributes: Listable, NumericFunction, Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References