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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`=-3/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {-(3/2), 21/4}, -z] == -((221 (2 Sqrt[z] (885809925 + 1048093200 z + 44352000 z^2 + 5136384 z^3 - 8323072 z^4 + 1048576 z^5) BesselJ[1/4, Sqrt[z]]^2 - 3 (1476349875 + 2796670800 z - 263155200 z^2 + 13967360 z^3 - 9240576 z^4 + 1048576 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (4429049625 - 1058626800 z + 29145600 z^2 + 12410880 z^3 - 9109504 z^4 + 1048576 z^5) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(2906652672 Sqrt[2] z^(15/4)))










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