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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=3/2, a2>=3/2 > For fixed z and a1=3/2, a2=2, a3>=2 > For fixed z and a1=3/2, a2=2, a3=4 > For fixed z and a1=3/2, a2=2, a3=4, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{3/2, 2, 4}, {-(7/2), -(5/2)}, -z] == (1/(1120 (1 + z)^13)) (1120 + 13024 z + 75072 z^2 + 13632 z^3 - 47925216 z^4 + 2255150880 z^5 - 14643426304 z^6 + 25829749088 z^7 - 13852825272 z^8 + 1915484571 z^9 - 17657640 z^10 - 291060 z^11) - (1287 (-7040 z^(9/2) + 117120 z^(11/2) - 443040 z^(13/2) + 520520 z^(15/2) - 194337 z^(17/2) + 18018 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