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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=1/4





http://functions.wolfram.com/07.22.03.6435.01









  


  










Input Form





HypergeometricPFQ[{1}, {1/4, 23/4}, z] == (1/(65536 z^(19/4))) ((57 (16 E^(2 Sqrt[z]) z^(3/4) (-363825 - 23100 z - 1680 z^2 + 256 z^3) + 1155 E^(4 Sqrt[z]) Sqrt[2 Pi] (-945 + 1890 Sqrt[z] - 1680 z + 840 z^(3/2) - 240 z^2 + 32 z^(5/2)) Erf[Sqrt[2] z^(1/4)] + 1155 Sqrt[2 Pi] (945 + 1890 Sqrt[z] + 1680 z + 840 z^(3/2) + 240 z^2 + 32 z^(5/2)) 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