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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=-15/4





http://functions.wolfram.com/07.22.03.6892.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(15/4), 23/4}, z] == (1/(131072 z^(19/4))) ((19 (-16 E^(2 Sqrt[z]) z^(3/4) (1895268375 + 437451300 z + 41081040 z^2 + 1584000 z^3 + 20224 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-5685805125 + 11371610250 Sqrt[z] - 11059448400 z + 6956749800 z^(3/2) - 3171888720 z^2 + 1111350240 z^(5/2) - 308689920 z^3 + 68808960 z^(7/2) - 12222720 z^4 + 1669632 z^(9/2) - 159744 z^5 + 8192 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (5685805125 + 11371610250 Sqrt[z] + 11059448400 z + 6956749800 z^(3/2) + 3171888720 z^2 + 1111350240 z^(5/2) + 308689920 z^3 + 68808960 z^(7/2) + 12222720 z^4 + 1669632 z^(9/2) + 159744 z^5 + 8192 z^(11/2)) 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