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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-9/4





http://functions.wolfram.com/07.22.03.7808.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(9/4), 9/4}, z] == (1/(8847360 z^(5/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (363825 + 1014660 z - 900720 z^2 + 403968 z^3 + 4096 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-363825 + 727650 Sqrt[z] - 2702700 z + 4435200 z^(3/2) - 1164240 z^2 - 3326400 z^(5/2) + 2112000 z^3 + 1689600 z^(7/2) + 307200 z^4 + 16384 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (363825 + 727650 Sqrt[z] + 2702700 z + 4435200 z^(3/2) + 1164240 z^2 - 3326400 z^(5/2) - 2112000 z^3 + 1689600 z^(7/2) - 307200 z^4 + 16384 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