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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=3, a3>=3 > For fixed z and a1=5/2, a2=3, a3=3 > For fixed z and a1=5/2, a2=3, a3=3, b1=-7/2





http://functions.wolfram.com/07.27.03.au9e.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 3}, {-(7/2), 1/2}, -z] == (1/(448 (1 + z)^11)) (448 + 10688 z + 131008 z^2 + 1293888 z^3 + 20359680 z^4 - 126201768 z^5 + 128751992 z^6 - 30232901 z^7 + 1167014 z^8) - (6435 (1144 z^(9/2) - 3224 z^(11/2) + 2079 z^(13/2) - 328 z^(15/2) + 8 z^(17/2)) ArcSinh[Sqrt[z]])/ (64 Sqrt[1 + z] (1 + 11 z + 55 z^2 + 165 z^3 + 330 z^4 + 462 z^5 + 462 z^6 + 330 z^7 + 165 z^8 + 55 z^9 + 11 z^10 + z^11))










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