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based on an earlier version of the Wolfram Language.
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QPolyGamma

QPolyGamma
gives the -digamma function .
QPolyGamma
gives the ^(th) derivative of the -digamma function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • .
  • .
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
QPolyGamma threads element-wise over lists:
TraditionalForm formatting:
Express certain sums in closed form:
In general all basic -rational sums can be computed using QPolyGamma:
Use DifferenceDelta to verify:
Differences of QPolyGamma are -rational functions:
Derivatives of QGamma involve QPolyGamma:
New in 7