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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=3/4, b1`>=-11/2 > For fixed z and a1=3/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.ac4j.01









  


  










Input Form





HypergeometricPFQ[{3/4}, {-(1/2), 19/4}, z] == (1/(33554432 z^(15/4))) ((1155 (4 z^(1/4) (2297295 + 3063060 Sqrt[z] + 1860768 z + 614016 z^(3/2) + 97024 z^2 + 5120 z^(5/2) + E^(4 Sqrt[z]) (-2297295 + 3063060 Sqrt[z] - 1860768 z + 614016 z^(3/2) - 97024 z^2 + 5120 z^(5/2))) + 5 E^(2 Sqrt[z]) Sqrt[2 Pi] (-459459 + 117936 z - 20736 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] - 5 E^(2 Sqrt[z]) Sqrt[2 Pi] (-459459 + 117936 z - 20736 z^2 + 4096 z^3) 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