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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-19/4





http://functions.wolfram.com/07.22.03.6840.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(19/4), -(1/4)}, z] == (1/65835) ((E^(2 Sqrt[z]) (65835 + 166320 z + 143808 z^2 - 25600 z^3 + 2048 z^4) + 4 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(5/4) (12285 - 24570 Sqrt[z] + 17940 z - 3120 z^(3/2) - 2928 z^2 + 1280 z^(5/2) + 256 z^3) Erf[Sqrt[2] z^(1/4)] - 4 Sqrt[2 Pi] z^(5/4) (12285 + 24570 Sqrt[z] + 17940 z + 3120 z^(3/2) - 2928 z^2 - 1280 z^(5/2) + 256 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