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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=-5/2, a3>=-5/2 > For fixed z and a1=-5/2, a2=-5/2, a3=-1/2 > For fixed z and a1=-5/2, a2=-5/2, a3=-1/2, b1=1/2





http://functions.wolfram.com/07.27.03.a7v0.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), -(1/2)}, {1/2, 1/2}, z] == (75/256) Pi^2 Sqrt[-z] + (1/128) Sqrt[1 - z] (128 - 861 z - 152 z^2) + (15/128) (15 Sqrt[-z] - 40 (-z)^(3/2) + 4 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] - (225/128) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]]^2 + (225/64) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (225/64) Sqrt[-z] PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (225/64) 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