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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`=5/2





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









  


  








Input Form





HypergeometricPFQ[{1/4}, {5/2, -(21/4)}, -z] == (1/(278460 Sqrt[2] z^(3/4))) ((8 z (489069 - 30496 z + 256 z^2) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (2725569 - 566880 z + 16640 z^2) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (8176707 - 2422728 z + 261120 z^2 - 2048 z^3) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^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