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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-9/4





http://functions.wolfram.com/07.22.03.7804.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(9/4), 1/4}, z] == (1/691200) ((-8 E^(2 Sqrt[z]) (-86400 - 592605 z + 1223604 z^2 + 258944 z^3 + 1024 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (1514205 - 3028410 Sqrt[z] - 865260 z + 5768400 z^(3/2) + 4195200 z^2 + 1062912 z^(5/2) + 111616 z^3 + 4096 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] z^(3/4) (-1514205 - 3028410 Sqrt[z] + 865260 z + 5768400 z^(3/2) - 4195200 z^2 + 1062912 z^(5/2) - 111616 z^3 + 4096 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