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





http://functions.wolfram.com/07.27.03.am5d.01









  


  










Input Form





HypergeometricPFQ[{-(1/2), 4, 4}, {-(5/2), 1/2}, -z] == (3840 + 19784 z - 64644 z^2 - 1820781 z^3 + 1867556 z^4 - 221076 z^5)/ (3840 (1 + z)^9) + (1/(768 (1 + z)^(19/2))) (7 (-280 Sqrt[z] - 2660 z^(3/2) - 11305 z^(5/2) + 63758 z^(7/2) - 34424 z^(9/2) + 2288 z^(11/2)) ArcSinh[Sqrt[z]])










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