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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=-9/4





http://functions.wolfram.com/07.22.03.7516.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(9/4), 5/4}, z] == (1/(276480 z^(1/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (17415 - 49440 z + 29856 z^2 + 512 z^3) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-51975 + 103950 Sqrt[z] + 27720 z - 194040 z^(3/2) + 84480 z^2 + 126720 z^(5/2) + 30720 z^3 + 2048 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (51975 + 103950 Sqrt[z] - 27720 z - 194040 z^(3/2) - 84480 z^2 + 126720 z^(5/2) - 30720 z^3 + 2048 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