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LerchPhi






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Series representations > Residue representations > Residue representations > For Phi^(z,s,a)





http://functions.wolfram.com/10.06.06.0012.01









  


  










Input Form





LerchPhiClassical[z, s, a] == Sum[Residue[((Gamma[1 - t] (Gamma[a - t]/Gamma[1 + a - t])^s)/(-z)^t) Gamma[t], {t, -j}], {j, 0, Infinity}] /; (Abs[z] < 1 || (Abs[z] = 1 && Re[s] > 1)) && !(Element[a, Integers] && -a >= 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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