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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a9nf.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {11/2, -(23/4)}, -z] == ((4 z (-13643761356225 + 464828106600 z - 23756971392 z^2 + 10952736768 z^3 - 567803904 z^4 + 8388608 z^5) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-22739602260375 + 2796011489700 z - 55991390400 z^2 + 5730975744 z^3 - 287571968 z^4 + 4194304 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-341094033905625 + 72259642026000 z - 3531323109600 z^2 - 112280947200 z^3 + 45547388928 z^4 - 2296381440 z^5 + 33554432 z^6) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(19964663136 Sqrt[2] z^(13/4))










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