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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/10.06.26.0006.01









  


  








Input Form





UnitStep[1 - Abs[z]] (1 - z)^a LerchPhi[1 - z, 1, a] == Gamma[a] MeijerG[{{}, {1, a}}, {{0, 0}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], 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