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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/07.31.07.0002.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (1/Gamma[Subscript[a, p]]) Integrate[ (t^(Subscript[a, p] - 1) HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, p - 1]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z t])/E^t, {t, 0, Infinity}] /; p <= q + 1 && Re[Subscript[a, p]] > 0










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2001-10-29





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