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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-19/4





http://functions.wolfram.com/07.22.03.7708.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(19/4), -(5/4)}, z] == (1/39501000) ((-8 E^(2 Sqrt[z]) (-4937625 - 4989600 z - 18627840 z^2 - 9562770 z^3 + 6856680 z^4 + 910080 z^5 + 2048 z^6) - E^(4 Sqrt[z]) Sqrt[2 Pi] z^(9/4) (-50470875 + 100941750 Sqrt[z] - 49694400 z - 35200200 z^(3/2) + 31668000 z^2 + 19488000 z^(5/2) + 3712000 z^3 + 292864 z^(7/2) + 8192 z^4) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] z^(9/4) (-50470875 - 100941750 Sqrt[z] - 49694400 z + 35200200 z^(3/2) + 31668000 z^2 - 19488000 z^(5/2) + 3712000 z^3 - 292864 z^(7/2) + 8192 z^4) 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