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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=5/2, a3>=5/2 > For fixed z and a1=2, a2=5/2, a3=4 > For fixed z and a1=2, a2=5/2, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{2, 5/2, 4}, {-(5/2), -(5/2)}, -z] == (1/(480 (1 + z)^13)) (480 + 4704 z + 35392 z^2 - 2330048 z^3 + 429903264 z^4 - 6056566880 z^5 + 20852383552 z^6 - 22647946464 z^7 + 7870628766 z^8 - 698569053 z^9 + 3545640 z^10 + 26460 z^11) + (3003 (768 z^(7/2) - 31872 z^(9/2) + 237120 z^(11/2) - 526240 z^(13/2) + 398970 z^(15/2) - 99099 z^(17/2) + 6006 z^(19/2)) ArcSinh[Sqrt[z]])/ (32 Sqrt[1 + z] (1 + 13 z + 78 z^2 + 286 z^3 + 715 z^4 + 1287 z^5 + 1716 z^6 + 1716 z^7 + 1287 z^8 + 715 z^9 + 286 z^10 + 78 z^11 + 13 z^12 + z^13))










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