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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-11/4





http://functions.wolfram.com/07.22.03.7210.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(11/4), 7/4}, z] == (1/(59136 z^(3/4))) ((-48 E^(2 Sqrt[z]) z^(3/4) (-707 - 776 z + 256 z^2) - E^(4 Sqrt[z]) Sqrt[2 Pi] (4725 - 9450 Sqrt[z] - 8100 z + 28800 z^(3/2) - 20016 z^2 - 1728 z^(5/2) + 6400 z^3 + 1024 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (4725 + 9450 Sqrt[z] - 8100 z - 28800 z^(3/2) - 20016 z^2 + 1728 z^(5/2) + 6400 z^3 - 1024 z^(7/2)) 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