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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=3, a3>=3 > For fixed z and a1=5/2, a2=3, a3=4 > For fixed z and a1=5/2, a2=3, a3=4, b1=-3/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 4}, {-(3/2), 1/2}, -z] == (1/(384 (1 + z)^10)) (384 + 19200 z + 887680 z^2 - 14406800 z^3 + 34870320 z^4 - 20155961 z^5 + 2433130 z^6 - 12600 z^7) - (1155 (1008 z^(5/2) - 6576 z^(7/2) + 9519 z^(9/2) - 3612 z^(11/2) + 280 z^(13/2)) ArcSinh[Sqrt[z]])/(128 (1 + z)^(21/2))










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