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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.aaj7.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {9/2, 17/4}, -z] == (1/(26966016 Sqrt[2] z^(11/4))) (13 (2 Sqrt[z] (2962575 - 3558240 z + 3999744 z^2 + 1794048 z^3 + 65536 z^4) BesselJ[1/4, Sqrt[z]]^2 - 3 (4937625 - 4838400 z + 2526720 z^2 + 1736704 z^3 + 65536 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (5740875 - 4989600 z + 2718720 z^2 + 1744896 z^3 + 65536 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