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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=2, a2>=2 > For fixed z and a1=2, a2=7/2, a3>=7/2 > For fixed z and a1=2, a2=7/2, a3=4 > For fixed z and a1=2, a2=7/2, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.atta.01









  


  










Input Form





HypergeometricPFQ[{2, 7/2, 4}, {-(7/2), 1/2}, -z] == (1/(160 (1 + z)^12)) (160 + 4480 z + 64320 z^2 + 750976 z^3 + 14192992 z^4 - 111773904 z^5 + 152609400 z^6 - 52969950 z^7 + 3776907 z^8 - 6996 z^9 + 132 z^10) - (9009 (880 z^(9/2) - 3144 z^(11/2) + 2730 z^(13/2) - 645 z^(15/2) + 30 z^(17/2)) ArcSinh[Sqrt[z]])/ (32 Sqrt[1 + z] (1 + 12 z + 66 z^2 + 220 z^3 + 495 z^4 + 792 z^5 + 924 z^6 + 792 z^7 + 495 z^8 + 220 z^9 + 66 z^10 + 12 z^11 + z^12))










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