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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=11/4, b1`>=-11/2 > For fixed z and a1=11/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.adwi.01









  


  










Input Form





HypergeometricPFQ[{11/4}, {-(1/2), 19/4}, z] == -((1/(1048576 z^(15/4))) ((165 (4 z^(1/4) (-2297295 - 3063060 Sqrt[z] - 2253888 z - 1138176 z^(3/2) - 412672 z^2 - 106496 z^(5/2) - 16384 z^3 + E^(4 Sqrt[z]) (2297295 - 3063060 Sqrt[z] + 2253888 z - 1138176 z^(3/2) + 412672 z^2 - 106496 z^(5/2) + 16384 z^3)) - 12285 E^(2 Sqrt[z]) Sqrt[2 Pi] (-187 + 16 z) Erf[Sqrt[2] z^(1/4)] + 12285 E^(2 Sqrt[z]) Sqrt[2 Pi] (-187 + 16 z) 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