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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aaiz.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {9/2, 9/4}, -z] == (1/(15048 Sqrt[2] z^(9/4))) ((4 z (-225 + 10158 z + 7936 z^2 + 512 z^3) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-375 + 1985 z + 3744 z^2 + 256 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-5625 - 6300 z + 18840 z^2 + 30208 z^3 + 2048 z^4) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^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