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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-19/4





http://functions.wolfram.com/07.22.03.7124.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(19/4), -(13/4)}, z] == (1/115540425) ((E^(2 Sqrt[z]) (115540425 + 29937600 z + 8870400 z^2 + 5160960 z^3 + 20643840 z^4 - 17145856 z^5 - 131072 z^6) - 512 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-15225 + 30450 Sqrt[z] + 17400 z + 2720 z^(3/2) + 128 z^2) Erf[Sqrt[2] z^(1/4)] + 512 Sqrt[2 Pi] z^(17/4) (-15225 - 30450 Sqrt[z] + 17400 z - 2720 z^(3/2) + 128 z^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