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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=5, b1>=-23/4 > For fixed z and a1=5, b1=-9/4





http://functions.wolfram.com/07.22.03.7514.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(9/4), 1/4}, z] == (1/34560) ((-8 E^(2 Sqrt[z]) (-4320 - 27435 z + 44148 z^2 + 4672 z^3) - E^(4 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (65835 - 131670 Sqrt[z] - 12540 z + 200640 z^(3/2) + 109440 z^2 + 18944 z^(5/2) + 1024 z^3) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] z^(3/4) (-65835 - 131670 Sqrt[z] + 12540 z + 200640 z^(3/2) - 109440 z^2 + 18944 z^(5/2) - 1024 z^3) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










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)





2007-05-02