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





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









  


  








Input Form





HypergeometricPFQ[{1/2, 1, 1}, {3/2, 5/2}, z] == (3 I (4 I + Pi^2 Sqrt[z]))/(8 z) + (3 Sqrt[1 - z] ArcSin[Sqrt[z]])/ (2 z^(3/2)) + (3 ArcSin[Sqrt[z]] Log[(1 - E^(I ArcSin[Sqrt[z]]))/ (1 + E^(I ArcSin[Sqrt[z]]))])/(2 Sqrt[z]) + (3 I PolyLog[2, -E^(I ArcSin[Sqrt[z]])])/(2 Sqrt[z]) - (3 I PolyLog[2, E^(I ArcSin[Sqrt[z]])])/(2 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