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





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









  


  










Input Form





HypergeometricPFQ[{1/2, 1/2, 3}, {5/2, 4}, -z] == -(16/(25 z^3)) + (Sqrt[1 + z] (32 - 16 z - 63 z^2))/(50 z^3) + (3 (5 + 6 z) ArcSinh[Sqrt[z]])/(10 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