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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=3, a2>=3 > For fixed z and a1=3, a2=3, a3>=3 > For fixed z and a1=3, a2=3, a3=7/2 > For fixed z and a1=3, a2=3, a3=7/2, b1=-3/2





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









  


  










Input Form





HypergeometricPFQ[{3, 3, 7/2}, {-(3/2), -(3/2)}, -z] == (1/(64 (1 + z)^12)) (64 - 128 z + 122496 z^2 - 20457728 z^3 + 271733824 z^4 - 873373248 z^5 + 875718816 z^6 - 277924542 z^7 + 22915431 z^8 - 228858 z^9) + (315 (-5376 z^(5/2) + 211584 z^(7/2) - 1482176 z^(9/2) + 3069600 z^(11/2) - 2149350 z^(13/2) + 489783 z^(15/2) - 28392 z^(17/2) + 168 z^(19/2)) ArcSinh[Sqrt[z]])/(64 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