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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-21/4





http://functions.wolfram.com/07.22.03.6826.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(21/4), 13/4}, z] == (1/(1188096 z^(9/4))) ((-24 E^(2 Sqrt[z]) z^(1/4) (3378375 + 1621620 z + 454384 z^2 + 77696 z^3 + 3840 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (10135125 - 20270250 Sqrt[z] + 21081060 z - 15135120 z^(3/2) + 8814960 z^2 - 4656960 z^(5/2) + 2217600 z^3 - 861696 z^(7/2) + 244992 z^4 - 45056 z^(9/2) + 4096 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (10135125 + 20270250 Sqrt[z] + 21081060 z + 15135120 z^(3/2) + 8814960 z^2 + 4656960 z^(5/2) + 2217600 z^3 + 861696 z^(7/2) + 244992 z^4 + 45056 z^(9/2) + 4096 z^5) 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