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





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









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {1/2, 2}, -z] == (6144 - 295045 z + 1480440 z^2 - 1624860 z^3 + 407360 z^4 - 14976 z^5)/ (6144 (1 + z)^9) + (1/(6144 (1 + z)^(19/2))) (35 (-1225 Sqrt[z] + 18130 z^(3/2) - 49672 z^(5/2) + 34544 z^(7/2) - 5696 z^(9/2) + 128 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