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





http://functions.wolfram.com/07.27.03.apj9.01









  


  










Input Form





HypergeometricPFQ[{1, 1, 7/2}, {-(7/2), -(1/2)}, -z] == (1/(175 (1 + z)^9)) (175 + 1225 z + 630 z^2 - 39060 z^3 - 648774 z^4 + 2467134 z^5 - 781864 z^6 - 31996 z^7 - 1689 z^8) + (9 (4480 z^(9/2) - 6720 z^(11/2) + 1008 z^(13/2) + 56 z^(15/2) + 3 z^(17/2)) ArcSinh[Sqrt[z]])/(5 (1 + z)^(19/2))










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