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





http://functions.wolfram.com/07.27.03.4725.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(1/2), -(1/2)}, {1/2, 7/2}, z] == (175 Pi^2 Sqrt[-z])/3072 + (Sqrt[1 - z] (-105 + 1820 z + 258316 z^2 - 24240 z^3 + 1952 z^4 - 128 z^5))/ (294912 z^2) - (35 (-1 + 18 z - 360 z^2 - 1920 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/(98304 (-z)^(5/2)) - (175/512) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]]^2 + (175/256) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (175/256) Sqrt[-z] PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (175/256) Sqrt[-z] PolyLog[2, 1 - Sqrt[1 - z] - 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