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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a9o0.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {11/2, -(1/4)}, z] == (1/(44301312 z^(9/2))) ((-311070375 + 311070375 E^(4 Sqrt[z]) - 622140750 Sqrt[z] - 622140750 E^(4 Sqrt[z]) Sqrt[z] - 495841500 z + 495841500 E^(4 Sqrt[z]) z - 162162000 z^(3/2) - 162162000 E^(4 Sqrt[z]) z^(3/2) + 6486480 z^2 - 6486480 E^(4 Sqrt[z]) z^2 + 7983360 z^(5/2) + 7983360 E^(4 Sqrt[z]) z^(5/2) - 6048000 z^3 + 6048000 E^(4 Sqrt[z]) z^3 + 3870720 z^(7/2) + 3870720 E^(4 Sqrt[z]) z^(7/2) - 2764800 z^4 + 2764800 E^(4 Sqrt[z]) z^4 + 2555904 z^(9/2) + 2555904 E^(4 Sqrt[z]) z^(9/2) - 3735552 z^5 + 3735552 E^(4 Sqrt[z]) z^5 + 15728640 z^(11/2) + 15728640 E^(4 Sqrt[z]) z^(11/2) + 262144 z^6 - 262144 E^(4 Sqrt[z]) z^6 - 1048576 z^(13/2) - 1048576 E^(4 Sqrt[z]) z^(13/2) - 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-243 + 16 z) Erf[Sqrt[2] z^(1/4)] + 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-243 + 16 z) 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