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





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









  


  










Input Form





HypergeometricPFQ[{2, 5/2, 4}, {-(5/2), 1/2}, -z] == (1/(96 (1 + z)^10)) (96 + 2496 z + 37600 z^2 + 775936 z^3 - 5858640 z^4 + 6529684 z^5 - 1404347 z^6 + 16380 z^7 + 252 z^8) + (15015 (-48 z^(7/2) + 156 z^(9/2) - 105 z^(11/2) + 14 z^(13/2)) ArcSinh[Sqrt[z]])/(32 (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