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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/07.27.07.0002.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == (1/Gamma[Subscript[a, 3]]) Integrate[(t^(Subscript[a, 3] - 1) HypergeometricPFQ[ {Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, t z])/E^t, {t, 0, Infinity}] /; Re[Subscript[a, 3]] > 0










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