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





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









  


  








Input Form





HypergeometricPFQ[{-(5/2), 3/2, 3/2}, {5/2, 5/2}, z] == -((15 Pi^2)/(512 (-z)^(3/2))) - (Sqrt[1 - z] (375 - 814 z + 568 z^2 - 144 z^3))/(1024 z) - (15 Log[Sqrt[1 - z] + Sqrt[-z]])/(1024 (-z)^(3/2)) + (45 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(256 (-z)^(3/2)) - (45 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (128 (-z)^(3/2)) - (45 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (128 (-z)^(3/2)) + (45 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (128 (-z)^(3/2))








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