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





http://functions.wolfram.com/07.27.03.a9a6.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), 3}, {2, 7/2}, -z] == (3 Sqrt[1 + z] (15 - 210 z + 36632 z^2 - 39376 z^3 + 1152 z^4))/ (131072 z^2) + (15 (-3 + 40 z + 1440 z^2 - 9600 z^3 + 4480 z^4) ArcSinh[Sqrt[z]])/(131072 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