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





http://functions.wolfram.com/07.27.03.ap9i.01









  


  










Input Form





HypergeometricPFQ[{1, 1, 3/2}, {-(7/2), 5/2}, -z] == (3840 + 14755 z + 20914 z^2 + 12738 z^3 + 2634 z^4)/(35 z (1 + z)^4) - (3 (256 + 1152 z + 2016 z^2 + 1680 z^3 + 630 z^4 + 63 z^5) ArcSinh[Sqrt[z]])/(7 z^(3/2) (1 + z)^(9/2))










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