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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Integral representations > Contour integral representations





http://functions.wolfram.com/07.27.07.0004.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == (1/(2 Pi I)) (Product[Gamma[Subscript[b, k]], {k, 1, 2}]/ Product[Gamma[Subscript[a, k]], {k, 1, 3}]) Integrate[(Gamma[s] Product[Gamma[Subscript[a, k] - s], {k, 1, 3}])/ Product[Gamma[Subscript[b, k] - s], {k, 1, 2}]/(-z)^s, {s, \[Gamma] - I Infinity, \[Gamma] + I Infinity}] /; 0 < \[Gamma] < Min[Re[Subscript[a, 1]], Re[Subscript[a, 2]], Re[Subscript[a, 3]]] && 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