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QFactorial

QFactorial[n, q]
gives the q-factorial [n]_q!.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • [n]_q!=(q;q)_n/(1-q)^n for positive integer n, and [z]_q!=Gamma_q(z+1) otherwise.
EXAMPLESCLOSE ALL
Scope   (6)
Evaluate for TemplateBox[{q}, Abs]>1:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
QFactorial threads element-wise over lists:
TraditionalForm formatting:
Properties & Relations   (1)
Use FunctionExpand to expand q-series:
New in 7
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