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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=4 > For fixed z and a1=-5/2, a2=-1/2, a3=4, b1=7/2





http://functions.wolfram.com/07.27.03.aa9x.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(1/2), 4}, {7/2, 4}, -z] == (Sqrt[1 + z] (-15 - 140 z + 2988 z^2 - 384 z^3 - 32 z^4))/(4096 z^2) - (15 (-1 - 10 z - 80 z^2 + 160 z^3) ArcSinh[Sqrt[z]])/(4096 z^(5/2))










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