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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`=9/2





http://functions.wolfram.com/07.22.03.8438.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {9/2, -(11/4)}, z] == (118587803709375 - 118587803709375 E^(4 Sqrt[z]) + 237175607418750 Sqrt[z] + 237175607418750 E^(4 Sqrt[z]) Sqrt[z] + 166971627622800 z - 166971627622800 E^(4 Sqrt[z]) z + 17709112020600 z^(3/2) + 17709112020600 E^(4 Sqrt[z]) z^(3/2) - 24575910559200 z^2 + 24575910559200 E^(4 Sqrt[z]) z^2 + 11565134380800 z^(5/2) + 11565134380800 E^(4 Sqrt[z]) z^(5/2) - 4535346816000 z^3 + 4535346816000 E^(4 Sqrt[z]) z^3 + 1741075015680 z^(7/2) + 1741075015680 E^(4 Sqrt[z]) z^(7/2) - 704323952640 z^4 + 704323952640 E^(4 Sqrt[z]) z^4 + 316098478080 z^(9/2) + 316098478080 E^(4 Sqrt[z]) z^(9/2) - 165315870720 z^5 + 165315870720 E^(4 Sqrt[z]) z^5 + 106994073600 z^(11/2) + 106994073600 E^(4 Sqrt[z]) z^(11/2) - 93874814976 z^6 + 93874814976 E^(4 Sqrt[z]) z^6 + 133429198848 z^(13/2) + 133429198848 E^(4 Sqrt[z]) z^(13/2) - 554252107776 z^7 + 554252107776 E^(4 Sqrt[z]) z^7 - 7075790848 z^(15/2) - 7075790848 E^(4 Sqrt[z]) z^(15/2) + 28504489984 z^8 - 28504489984 E^(4 Sqrt[z]) z^8 + 67108864 z^(17/2) + 67108864 E^(4 Sqrt[z]) z^(17/2) - 268435456 z^9 + 268435456 E^(4 Sqrt[z]) z^9 - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (533577 - 27232 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (533577 - 27232 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(104121495878400 z^(7/2))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02