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variants of this functions
PolyLog




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[2,z] > Integration > Definite integration > For the products of direct functions





http://functions.wolfram.com/10.07.21.0023.01









  


  








Input Form





Integrate[(PolyLog[2, (-a) t] PolyLog[2, -(z/t^2)])/t, {t, 0, Infinity}] == (1/(2880 a)) (360 Pi Sqrt[1/z] LerchPhi[-(1/(a^2 z)), 4, 1/2] - a (159 Pi^4 Log[1/(a^2 z)] + 50 Pi^2 Log[1/(a^2 z)]^3 + 3 Log[1/(a^2 z)]^5 + 360 Log[1/(a^2 z)] PolyLog[4, -(1/(a^2 z))] - 1440 PolyLog[5, -(1/(a^2 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