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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-11/4





http://functions.wolfram.com/07.22.03.6922.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(11/4), 11/4}, z] == (1/(5632 z^(7/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (-945 - 268 z + 176 z^2) - E^(4 Sqrt[z]) Sqrt[2 Pi] (2835 - 5670 Sqrt[z] + 6720 z - 5880 z^(3/2) + 2640 z^2 + 544 z^(5/2) - 1280 z^3 + 512 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (2835 + 5670 Sqrt[z] + 6720 z + 5880 z^(3/2) + 2640 z^2 - 544 z^(5/2) - 1280 z^3 - 512 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