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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=-21/4





http://functions.wolfram.com/07.22.03.6242.01









  


  








Input Form





HypergeometricPFQ[{1}, {-(21/4), -(3/4)}, z] == (1/626535) ((3 E^(2 Sqrt[z]) (208845 + 53040 z + 93440 z^2 + 28672 z^3) - 512 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (105 - 210 Sqrt[z] + 180 z - 80 z^(3/2) + 16 z^2) Erf[Sqrt[2] z^(1/4)] - 512 Sqrt[2 Pi] z^(7/4) (105 + 210 Sqrt[z] + 180 z + 80 z^(3/2) + 16 z^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