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LerchPhi
BUILT-IN MATHEMATICA SYMBOL
LerchPhi
LerchPhi[z, s, a]
gives the Lerch transcendent
.
Details and OptionsDetails and Options
- Mathematical function, suitable for both symbolic and numerical manipulation.
. - For
, the definition used is
, where any term with
is excluded. - LerchPhi[z, s, a, DoublyInfinite->True] gives the sum
. - LerchPhi is a generalization of Zeta and PolyLog.
- For certain special arguments, LerchPhi automatically evaluates to exact values.
- LerchPhi can be evaluated to arbitrary numerical precision.
- LerchPhi automatically threads over lists.
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