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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.23.07.0006.01









  


  








Input Form





Hypergeometric2F1[a, b, c, z] == (1/(2 Pi I)) (Gamma[c]/(Gamma[a] Gamma[b])) Integrate[(Gamma[s] Gamma[a - s] Gamma[b - s])/Gamma[c - s]/(-z)^s, {s, \[Gamma] - I Infinity, \[Gamma] + I Infinity}] /; 0 < \[Gamma] < Min[Re[a], Re[b]] && Abs[Arg[-z]] < Pi








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