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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=1/2, a2>=1/2 > For fixed z and a1=1/2, a2=1, a3>=1 > For fixed z and a1=1/2, a2=1, a3=4 > For fixed z and a1=1/2, a2=1, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.and7.01









  


  










Input Form





HypergeometricPFQ[{1/2, 1, 4}, {-(7/2), -(7/2)}, -z] == (1/(3920 (1 + z)^12)) (3920 + 46400 z + 251808 z^2 + 824256 z^3 + 2290608 z^4 - 57847680 z^5 + 581202880 z^6 - 1152798944 z^7 + 531151632 z^8 - 18914049 z^9 - 1168650 z^10 - 52920 z^11) - (1287 (128 z^(9/2) - 3840 z^(11/2) + 18720 z^(13/2) - 22880 z^(15/2) + 6435 z^(17/2)) ArcSinh[Sqrt[z]])/(112 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