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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-3/4





http://functions.wolfram.com/07.22.03.7560.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(3/4), 7/4}, z] == (1/(49152 z^(3/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (-2487 + 5240 z + 128 z^2) - E^(4 Sqrt[z]) Sqrt[2 Pi] (1755 - 3510 Sqrt[z] - 16380 z + 37440 z^(3/2) + 44928 z^2 + 12800 z^(5/2) + 1024 z^3) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (1755 + 3510 Sqrt[z] - 16380 z - 37440 z^(3/2) + 44928 z^2 - 12800 z^(5/2) + 1024 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