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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7to.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, 11/4}, z] == (4 (-21996748800 - 43993497600 Sqrt[z] - 33348220425 z - 279096281100 z^(3/2) - 335503406160 z^2 + 1611724703040 z^(5/2) + 112883811840 z^3 - 474590361600 z^(7/2) - 8266752000 z^4 + 33594703872 z^(9/2) + 179503104 z^5 - 721158144 z^(11/2) - 1048576 z^6 + 4194304 z^(13/2) + E^(4 Sqrt[z]) (21996748800 - 43993497600 Sqrt[z] + 33348220425 z - 279096281100 z^(3/2) + 335503406160 z^2 + 1611724703040 z^(5/2) - 112883811840 z^3 - 474590361600 z^(7/2) + 8266752000 z^4 + 33594703872 z^(9/2) - 179503104 z^5 - 721158144 z^(11/2) + 1048576 z^6 + 4194304 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (-406586755575 - 1858682311200 z + 6758844768000 z^2 - 1922515845120 z^3 + 134913392640 z^4 - 2887778304 z^5 + 16777216 z^6) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (406586755575 + 1858682311200 z - 6758844768000 z^2 + 1922515845120 z^3 - 134913392640 z^4 + 2887778304 z^5 - 16777216 z^6) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(24496853483520 z^(5/2))










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