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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.avf9.01









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {1, 5/2}, -z] == (3 + 3932 z - 57400 z^2 + 116088 z^3 - 45376 z^4 + 2432 z^5)/ (4096 z (1 + z)^8) - (3 (1 - 54 z + 4860 z^2 - 28720 z^3 + 33120 z^4 - 8064 z^5 + 256 z^6) ArcSinh[Sqrt[z]])/(4096 z^(3/2) (1 + z)^(17/2))










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