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LerchPhi




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Specific values > Specialized values > For fixed z, s > For Phi~(z,s,a)





http://functions.wolfram.com/10.06.03.0042.01









  


  








Input Form





LerchPhiClassicalRegularized[z, s, n] == (PolyLog[s, z] - (2 UnitStep[n - 1] - 1) Sum[z^((2 UnitStep[n - 1] - 1) k)/((2 UnitStep[n - 1] - 1) k)^s, {k, 1, Abs[n] - UnitStep[n - 1]}])/z^n /; Element[n, Integers]








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)





2007-05-02