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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,m] > Integral representations > Contour integral representations





http://functions.wolfram.com/08.03.07.0004.01









  


  










Input Form





EllipticPi[n, m] == (1/(2 (2 Pi I)^2)) ContourIntegrate[ (Gamma[1/2 - s - t] Gamma[s] Gamma[1 - s] Gamma[t] Gamma[1/2 - t])/ Gamma[1 - s - t]/((-n)^s (-m)^t), {t, SuperStar[\[ScriptCapitalL]]}, {s, \[ScriptCapitalL]}]










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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