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





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









  


  








Input Form





HypergeometricPFQ[{11/4}, {-(11/2), 5/4}, -z] == (1/(873180 Sqrt[2] z^(1/4))) ((-6 (-291060 - 395703 z - 3696 z^2 + 78848 z^3 + 3072 z^4) BesselJ[1/4, Sqrt[z]]^2 + Sqrt[z] (-2442825 + 2450448 z + 2483712 z^2 - 122880 z^3 - 16384 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 6 z (-349965 - 380688 z + 90112 z^2 + 5120 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