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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=9/2





http://functions.wolfram.com/07.22.03.9585.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {9/2, -(17/4)}, -z] == ((-4 z (-139064322214125 - 19481822098200 z - 16497916617600 z^2 + 6040037836800 z^3 - 759025336320 z^4 + 53186396160 z^5 - 2608857088 z^6 + 134217728 z^7) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-417192966642375 + 21019860684900 z - 11517164366400 z^2 + 3327532876800 z^3 - 399105146880 z^4 + 27521187840 z^5 - 1346371584 z^6 + 67108864 z^7) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (1251578899927125 - 301455562993200 z + 34178635260000 z^2 + 73980759283200 z^3 - 25031498342400 z^4 + 3094352363520 z^5 - 215564156928 z^6 + 10569646080 z^7 - 536870912 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(30288062376000 Sqrt[2] z^(11/4))










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