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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=5/2, a3>=5/2 > For fixed z and a1=-5/2, a2=5/2, a3=3 > For fixed z and a1=-5/2, a2=5/2, a3=3, b1=-1/2





http://functions.wolfram.com/07.27.03.acs7.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), 5/2, 3}, {-(1/2), 1/2}, z] == (-2 - 144 z + 2019 z^2 - 5558 z^3 + 5565 z^4 - 1890 z^5)/(2 (-1 + z)^3) + (105/2) (-5 z^(3/2) + 18 z^(5/2)) ArcTanh[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