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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





http://functions.wolfram.com/07.27.03.avf6.01









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {1, 3/2}, -z] == (11913 - 352696 z + 1530176 z^2 - 1552536 z^3 + 368576 z^4 - 12928 z^5)/ (12288 (1 + z)^9) + (5 (25 - 4050 z + 47100 z^2 - 116176 z^3 + 75744 z^4 - 11904 z^5 + 256 z^6) ArcSinh[Sqrt[z]])/(4096 Sqrt[z] (1 + z)^(19/2))










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