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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=-21/4





http://functions.wolfram.com/07.22.03.7390.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(21/4), -(19/4)}, z] == (1/41247931725) ((E^(2 Sqrt[z]) (41247931725 + 8270262000 z + 1556755200 z^2 + 406425600 z^3 + 206438400 z^4 + 396361728 z^5 - 1210245120 z^6 - 18743296 z^7) - 1024 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (1142505 + 618528 Sqrt[z] + 117024 z + 9216 z^(3/2) + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 1024 Sqrt[2 Pi] z^(23/4) (1142505 - 618528 Sqrt[z] + 117024 z - 9216 z^(3/2) + 256 z^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