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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=-23/4





http://functions.wolfram.com/07.22.03.7082.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(23/4), -(9/4)}, z] == (1/204417675) ((E^(2 Sqrt[z]) (204417675 + 63201600 z + 26611200 z^2 + 56770560 z^3 + 43223040 z^4 - 11083776 z^5 - 131072 z^6) - 128 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (-133875 + 267750 Sqrt[z] - 176400 z - 4200 z^(3/2) + 45600 z^2 + 9600 z^(5/2) + 512 z^3) Erf[Sqrt[2] z^(1/4)] + 128 Sqrt[2 Pi] z^(13/4) (-133875 - 267750 Sqrt[z] - 176400 z + 4200 z^(3/2) + 45600 z^2 - 9600 z^(5/2) + 512 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