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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Integration > Definite integration > For the direct function itself





http://functions.wolfram.com/07.22.21.0003.01









  


  








Input Form





Integrate[t^(\[Alpha] - 1) HypergeometricPFQ[{Subscript[a, 1]}, {Subscript[b, 1], Subscript[b, 2]}, -t], {t, 0, Infinity}] == (Gamma[\[Alpha]] Gamma[Subscript[a, 1] - \[Alpha]] Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]])/(Gamma[Subscript[a, 1]] Gamma[Subscript[b, 1] - \[Alpha]] Gamma[Subscript[b, 2] - \[Alpha]]) /; 0 < Re[\[Alpha]] < Min[Re[Subscript[a, 1]], 1/4 + Re[Subscript[b, 1] + Subscript[b, 1] - Subscript[a, 1]]/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