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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/01.04.21.0039.01









  


  








Input Form





Integrate[(Log[1 + a t] Log[1 + z/t^2])/t, {t, 0, Infinity}] == (1/(24 a)) (6 Pi Sqrt[1/z] LerchPhi[-(1/(a^2 z)), 2, 1/2] - a (5 Pi^2 Log[1/(a^2 z)] + Log[1/(a^2 z)]^3 + 6 Log[1/(a^2 z)] PolyLog[2, -(1/(a^2 z))] - 12 PolyLog[3, -(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