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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.abl9.01









  


  








Input Form





HypergeometricPFQ[{1/4}, {-(5/2), -(5/4)}, -z] == (1/(75 Sqrt[2])) (z^(1/4) ((75 - 156 z + 112 z^2) BesselJ[-(1/4), Sqrt[z]]^ 2 + 4 Sqrt[z] (75 - 96 z + 32 z^2) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 12 (25 - 12 z) z 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