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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Integral representations > Contour integral representations





http://functions.wolfram.com/07.25.07.0004.01









  


  








Input Form





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








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