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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, a3>=1 > For fixed z and a1=1/2, a2=1, a3=3 > For fixed z and a1=1/2, a2=1, a3=3, b1=-7/2





http://functions.wolfram.com/07.27.03.an7n.01









  


  










Input Form





HypergeometricPFQ[{1/2, 1, 3}, {-(7/2), 3/2}, -z] == (-104 - 480 z - 648 z^2 + 568 z^3 + 4935 z^4 + 630 z^5)/(280 (1 + z)^6) + (3 (128 + 832 z + 2288 z^2 + 3432 z^3 + 3003 z^4) ArcSinh[Sqrt[z]])/ (280 Sqrt[z] (1 + z)^(13/2))










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