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LerchPhi






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > LerchPhi[z,s,a] > Differentiation > Symbolic differentiation > With respect to s > For Phi^(z,s,a)





http://functions.wolfram.com/10.06.20.0043.01









  


  










Input Form





D[LerchPhiClassical[z, s, a], {s, n}] == (-1)^n Sum[(Log[a + k]^n z^k)/(a + k)^s, {k, 0, Re[b - a] - 1}] + z^(b - Min[0, Re[b - a]] - a) D[LerchPhiClassical[z, s, b - Min[0, Re[b - a]]], {s, n}] /; Element[Re[b - a], Integers] && Im[b - a] == 0 && Element[n, Integers] && n > 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)





2007-05-02