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LerchPhi






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Representations through more general functions > Through Meijer G > Classical cases involving unit step theta > For Phi(z,s,a)





http://functions.wolfram.com/10.06.26.0009.01









  


  










Input Form





UnitStep[Abs[z] - 1] (z - 1)^a LerchPhi[1 - 1/z, 1, a] == Gamma[a] MeijerG[{{a + 1, a + 1}, {}}, {{}, {1, a}}, z] /; !IntervalMemberQ[Interval[{-Infinity, -1}], z]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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