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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Specific values > For fixed z





http://functions.wolfram.com/07.28.03.0189.01









  


  










Input Form





HypergeometricPFQ[{1, 1, 1, 1}, {3/2, 2, 2}, z] == (I/(3 z)) (2 ArcSin[Sqrt[z]]^3 - 6 I ArcSin[Sqrt[z]]^2 Log[1 - E^(-2 I ArcSin[Sqrt[z]])] + 6 ArcSin[Sqrt[z]] PolyLog[2, E^(-2 I ArcSin[Sqrt[z]])] - 3 I PolyLog[3, E^(-2 I ArcSin[Sqrt[z]])] + 3 I Zeta[3])










Standard Form





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MathML Form







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Rule Form





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Contributed by





Brychkov Yu.A. (2006)










Date Added to functions.wolfram.com (modification date)





2007-05-02





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