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LerchPhi






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Integral representations > Contour integral representations > Contour integral representations > For Phi^(z,s,a)





http://functions.wolfram.com/10.06.07.0003.01









  


  










Input Form





LerchPhiClassical[z, s, a] == (1/(2 Pi I)) ContourIntegrate[ (Gamma[t] Gamma[1 - t] Gamma[a - t]^s)/Gamma[1 + a - t]^s/(-z)^t, {t, \[ScriptCapitalL]}] /; Element[s, Integers] && s > 0










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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