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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=-19/4





http://functions.wolfram.com/07.22.03.7416.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(19/4), -(9/4)}, z] == (1/8887725) ((E^(2 Sqrt[z]) (8887725 + 4158000 z + 2661120 z^2 + 9031680 z^3 + 2802240 z^4 + 2170368 z^5 + 8192 z^6) + 4 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (776475 - 1552950 Sqrt[z] + 548100 z + 974400 z^(3/2) + 278400 z^2 + 29184 z^(5/2) + 1024 z^3) Erf[Sqrt[2] z^(1/4)] - 4 Sqrt[2 Pi] z^(13/4) (776475 + 1552950 Sqrt[z] + 548100 z - 974400 z^(3/2) + 278400 z^2 - 29184 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