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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=-1/4, b1`>=-11/2 > For fixed z and a1=-1/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.ab67.01









  


  








Input Form





HypergeometricPFQ[{-(1/4)}, {-(3/2), -(19/4)}, -z] == (1/(197505 z^(1/4))) (Sqrt[2] ((197505 + 401940 z + 144144 z^2 - 61440 z^3 + 4096 z^4) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (65835 + 46200 z - 30272 z^2 + 4096 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (197505 - 124740 z + 25344 z^2 - 1024 z^3) 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