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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=-23/4





http://functions.wolfram.com/07.22.03.7668.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(23/4), 3/4}, z] == (1/5814547200) ((48 E^(2 Sqrt[z]) (121136400 + 72678375 z - 79405200 z^2 + 6278160 z^3 + 93184 z^4 + 69632 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] z^(1/4) (2170943775 - 4341887550 Sqrt[z] + 2368302300 z + 1052578800 z^(3/2) - 1793282400 z^2 + 639344160 z^(5/2) + 119609280 z^3 - 129319680 z^(7/2) + 4945920 z^4 + 12042240 z^(9/2) + 1687552 z^5 + 65536 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] z^(1/4) (-2170943775 - 4341887550 Sqrt[z] - 2368302300 z + 1052578800 z^(3/2) + 1793282400 z^2 + 639344160 z^(5/2) - 119609280 z^3 - 129319680 z^(7/2) - 4945920 z^4 + 12042240 z^(9/2) - 1687552 z^5 + 65536 z^(11/2)) 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