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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=-1/4





http://functions.wolfram.com/07.22.03.7290.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(1/4), 21/4}, z] == -((1/(2097152 z^(17/4))) ((3315 (-8 E^(2 Sqrt[z]) z^(1/4) (552825 + 211680 z + 36720 z^2 + 2816 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] (552825 - 1105650 Sqrt[z] + 1096200 z - 718200 z^(3/2) + 349200 z^2 - 133920 z^(5/2) + 41856 z^3 - 10752 z^(7/2) + 2048 z^4) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (552825 + 1105650 Sqrt[z] + 1096200 z + 718200 z^(3/2) + 349200 z^2 + 133920 z^(5/2) + 41856 z^3 + 10752 z^(7/2) + 2048 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