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





http://functions.wolfram.com/07.27.03.a9wc.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(1/2), 2}, {5/2, 3}, -z] == 8/(315 z^2) + (Sqrt[1 + z] (-2048 - 3701 z + 57822 z^2 - 6920 z^3 - 560 z^4))/(80640 z^2) + ((15 + 80 z - 144 z^2) ArcSinh[Sqrt[z]])/ (256 z^(3/2))










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