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Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > q Functions > QPochhammer >

BUILT-IN MATHEMATICA SYMBOL

QPochhammer

gives the

-Pochhammer symbol

gives the

-Pochhammer symbol

QPochhammer[q]
gives the

-Pochhammer symbol

Generate partition numbers:

Out[1]=

Out[2]=

Out[3]=

Out[1]=

Generate partition numbers:

Out[1]=

Out[2]=

Evaluate for complex arguments:

Evaluate to arbitrary precision:

The precision of the input tracks the precision of the output:

Finite products evaluate for all Gaussian rational numbers:

-series are building blocks of other

-factorial functions:

Build

-analogs of sine and cosine:

-analog of

Triple product identity:

Find RamanujanTau from its generating function:

Hirschhorn's modular identity

The boundary of the unit circle contains a dense subset of essential singularities of