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





http://functions.wolfram.com/07.27.03.2439.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(5/2), -(3/2)}, {3/2, 7/2}, z] == (2625 (Pi^2 - 16 Pi^2 z + 8 Pi^2 z^2))/(524288 Sqrt[-z]) + (Sqrt[1 - z] (105 - 8330 z + 13789672 z^2 - 23338864 z^3 + 665472 z^4 + 1280 z^5))/(16777216 z^2) - (105 (1 - 80 z - 18800 z^2 - 38400 z^3 + 144000 z^4 - 2048 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(16777216 (-z)^(5/2)) - (7875 (1 - 16 z + 8 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(262144 Sqrt[-z]) + (7875 (1 - 16 z + 8 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(131072 Sqrt[-z]) + (7875 (1 - 16 z + 8 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (131072 Sqrt[-z]) - (7875 (1 - 16 z + 8 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(131072 Sqrt[-z])










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