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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8218.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), 9/4}, z] == (4 z^(1/4) (316234143225 + 421645524300 Sqrt[z] + 533326641120 z + 3957936877440 z^(3/2) + 5077559934720 z^2 - 24489469025280 z^(5/2) - 1754545766400 z^3 + 7381302706176 z^(7/2) + 130286026752 z^4 - 529533763584 z^(9/2) - 2854223872 z^5 + 11467227136 z^(11/2) + 16777216 z^6 - 67108864 z^(13/2) + E^(4 Sqrt[z]) (316234143225 - 421645524300 Sqrt[z] + 533326641120 z - 3957936877440 z^(3/2) + 5077559934720 z^2 + 24489469025280 z^(5/2) - 1754545766400 z^3 - 7381302706176 z^(7/2) + 130286026752 z^4 + 529533763584 z^(9/2) - 2854223872 z^5 - 11467227136 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) - E^(2 Sqrt[z]) Sqrt[2 Pi] (316234143225 - 5059746291600 z - 26985313555200 z^2 + 102801194496000 z^3 - 29905802035200 z^4 + 2126634811392 z^5 - 45919240192 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (316234143225 - 5059746291600 z - 26985313555200 z^2 + 102801194496000 z^3 - 29905802035200 z^4 + 2126634811392 z^5 - 45919240192 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(42046052106240 z^(5/4))










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