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Mathematica Notation

Traditional Notation

Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Integral representations > Contour integral representations




Input Form

Hypergeometric2F1[a, b, c, z] == (1/(2 Pi I)) (Gamma[c]/(Gamma[a] Gamma[b])) ContourIntegrate[(Gamma[s] Gamma[a - s] Gamma[b - s])/Gamma[c - s]/(-z)^s, {s, \[ScriptCapitalL]}] /; Abs[Arg[-z]] < Pi

Standard Form

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MathML Form

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Rule Form

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