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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/07.22.03.7704.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(19/4), -(13/4)}, z] == (1/577702125) ((E^(2 Sqrt[z]) (577702125 + 224532000 z + 93139200 z^2 + 72253440 z^3 + 371589120 z^4 - 528044160 z^5 - 22507520 z^6 - 32768 z^7) - 8 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(17/4) (-18589725 + 37179450 Sqrt[z] + 35409000 z + 10616640 z^(3/2) + 1428480 z^2 + 88576 z^(5/2) + 2048 z^3) Erf[Sqrt[2] z^(1/4)] + 8 Sqrt[2 Pi] z^(17/4) (-18589725 - 37179450 Sqrt[z] + 35409000 z - 10616640 z^(3/2) + 1428480 z^2 - 88576 z^(5/2) + 2048 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