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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=1, b1>=-23/4 > For fixed z and a1=1, b1=-19/4





http://functions.wolfram.com/07.22.03.6276.01









  


  










Input Form





HypergeometricPFQ[{1}, {-(19/4), 23/4}, z] == (1/(2048 z^(19/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (218243025 + 39382200 z + 2723760 z^2 + 44928 z^3 + 128 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] (654729075 - 1309458150 Sqrt[z] + 1240539300 z - 735134400 z^(3/2) + 302702400 z^2 - 90810720 z^(5/2) + 20180160 z^3 - 3294720 z^(7/2) + 380160 z^4 - 28160 z^(9/2) + 1024 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (654729075 + 1309458150 Sqrt[z] + 1240539300 z + 735134400 z^(3/2) + 302702400 z^2 + 90810720 z^(5/2) + 20180160 z^3 + 3294720 z^(7/2) + 380160 z^4 + 28160 z^(9/2) + 1024 z^5) 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