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





http://functions.wolfram.com/07.27.03.0365.01









  


  








Input Form





HypergeometricPFQ[{1/2, 1/2, 1}, {3/2, 5/2}, z] == (3/(4 z)) (((1 - z)/Sqrt[z]) ArcTanh[Sqrt[z]] - 1 + Sqrt[z] (PolyLog[2, Sqrt[z]] - PolyLog[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)





2001-10-29