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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=2, b1>=-23/4 > For fixed z and a1=2, b1=-11/4





http://functions.wolfram.com/07.22.03.6638.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(11/4), 23/4}, z] == -((1/(32768 z^(19/4))) ((285 (-144 E^(2 Sqrt[z]) z^(3/4) (1126125 + 211640 z + 14880 z^2 + 256 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-30405375 + 60810750 Sqrt[z] - 57837780 z + 34594560 z^(3/2) - 14469840 z^2 + 4435200 z^(5/2) - 1008000 z^3 + 165888 z^(7/2) - 18176 z^4 + 1024 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (30405375 + 60810750 Sqrt[z] + 57837780 z + 34594560 z^(3/2) + 14469840 z^2 + 4435200 z^(5/2) + 1008000 z^3 + 165888 z^(7/2) + 18176 z^4 + 1024 z^(9/2)) 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