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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=-1/2, a2>=-1/2 > For fixed z and a1=-1/2, a2=-1/2, a3>=-1/2 > For fixed z and a1=-1/2, a2=-1/2, a3=1/2 > For fixed z and a1=-1/2, a2=-1/2, a3=1/2, b1=3/2





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









  


  








Input Form





HypergeometricPFQ[{-(1/2), -(1/2), 1/2}, {3/2, 3/2}, z] == Sqrt[1 - z]/2 + Pi^2/(48 Sqrt[-z]) + ((1 + z) Log[Sqrt[1 - z] + Sqrt[-z]])/ (4 Sqrt[-z]) - Log[Sqrt[1 - z] + Sqrt[-z]]^2/(8 Sqrt[-z]) + (Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (4 Sqrt[-z]) + PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]]/(4 Sqrt[-z]) - PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]/(4 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